
Formulas 
IN Gearing 



•RQWN &SHARPE MfG. CO, 



FROVSDENCE, R. L, U, 




Class _U_tM. 

Book_.^^__ 



CopyiightN°_ 



l^OT 



COPYRIGHT DEPOSnV 



FORMULAS 



IN 



GEARING. 



FIFTH EDITION. 



WITH PRACTICAL SUGGESTIONS. 



Brown & Sharpe Manufacturing Company, 
providence, r. i., u. s. a. 

1907 







Copyright 
1900, 1905, 1907 ^ 
By Brown & Sharpe Mfg. Co. 



0^-m- 



Pref 



rerace. 



This book deals with the subject of Gearing essentially 
from the draughtsman's standpoint. • 

Its aim is to condense as much as possible the solution 
of all problems in gearing which in the ordinary practice may 
be met with, to the exclusion of problems dealing with trans- 
mission of power and strength of gearing. 

The simplest and briefest being the symbolical expression, 
it has, ^vhenever available, been resorted to. The mathematics 
employed are of a simple kind, and will present no difficulty 
to any one familiar with ordinary Algebra and the elements 
of Trigonometry. 



Contents. 



FORMULAS IN GEARING. 



CHAPTEE I. 

Page 
Systems of Gearing 9 

CHAPTER II. 
Spur Gearing — Formulas 12 

CHAPTER III. 

Bevel Gears, Axes at Right Angles — Formulas — Bevel Gears, Axes at 
any Angle — Formulas — Undercut in Bevel Gears 14 

CHAPTER IV. 
"Worm and Worm Wheel — Formulas — Undercut in Worm Wheels . . 21 

CHAPTER V. 

Spiral or Screw Gearing — Axes Parallel — Axes at Right Angles — 

Axes at any Angle — General Formulas 25 

CHAPTER VI. 
Internal Gearing — Internal Spur Gearing — Internal Bevel Gears . . 34 

CHAPTER VII. 
Dimensions and Form for Bevel Gear Cutters 40 

CHAPTER VIII. 

The Indexing of any Whole or Fractional Number — Differential 

Indexing 43 

CHAPTER IX. 

The Gearing of Lathes for Screw Cutting — Simple Gearing — Com- 
pound Gearing — Cutting a Multiple Screw 50 



TABLES. 

Page 

Comparative Sizes of Gear Teetli 57 

Tooth Parts — Circular Pitch — Diametral Pitch 60-63 

Chordal Thickness of Gear Teeth and Distance from Chord to 

Top of Tooth 66, 67 

Diameter Increments 70-73 

Angles of Edge and Angles of Face 76-S3 

Cutters for Use in Cutting Bevel Gears 86, 87 

Solution of Right Angled Triangles 89 

Natural Sines and Cosines — Natural Tangents and Cotangents . . 92 109 

Angles for Gasliing Worm Wheels 112, 113 

Prime Numbers and Factors 1 16-149 

Table of Leads 1 54-1 71 

Index Table 174-182 

Decimal Equivalents of Parts of an Inch 183 



FORMULAS IN GEARING. 



CHAPTER I. 



SYSTEMS OF GEARING. 



There are in common use two systems of gearing, viz.: the 
involute and the epicycloidal. 

In the involute system the outlines of the working parts of a 
tooth are single curves, which may be traced by a point in a 
flexible, inextensible cord being unwound from a circular disk 
the circumference of which is called the base circle^ the disk 
being concentric with the pitch circle of the gear. 




Fig. 1. 



In Fig. I the two base circles are represented as tangent to 
the line P P. This line (P P) is variously called " the line of 
pressure," '' the line of contact," or " the line of action." 



lO BROWN & SHARPE MFG. CO. 

In our practice this is drawn so as to inake "with a normal 
to the centre Hne (O O') 14%°, or with the centre line 75^/^°. 

The rack of this system has teeth with straight sides, the two 
sides of a tooth making, together, an angle of 29° (twice 

This applies to gears having 30 teeth or more. For gears 
having less than 30 teeth special rules are followed, which are 
explained in our " Practical Treatise on Gearing." 




Fig. 2. 



In epicydoidal, or double-curve teeth, the formation of the 
curve changes at the pitch circle. The outline of the faces of 
epicycloidal teeth may be traced by a point in a circle rolling 
on the outside of pitch circle of a gear, and the flanks by a point 
in a circle rolling on the inside of the pitch circle. The faces 
of one gear must be traced by the same circle that traces the 
flanks of the engaging gear. 

In our practice the diameter of the rolling or describing 
circle is equal to the radius of a 15-tooth gear of the pitch 
required ; this is the base of the system. The same describing 
circle being used for all gears of the same pitch. 



BUOWN & SHARPE MFG. CO. II 

The teeth of the rack of this system have double curves, 
which may be traced by the base circle rolling alternately on 
each side of the pitch line. 

An advantage of the involute over the epicycloidal tooth is, 
that in action gears having involute teeth may be separated a 
little from their normal positions without interfering with the 
angular velocity, which is not possible in any other kind of 
tooth. 

The obliquity of action is sometimes urged as an objection 
to involute teeth, but a full consideration of the subject will 
show that the importance of this has been greatly over-esti- 
mated. 

TJie tooth dimensions for both the involute and epicycloidal 
gears may be calculated from the formulas in Chapter II. 



CHAPTER II. 



SPUR GEARING. 



T^vo spur gears in action are comparable to t^vo correspond- 
ing plain rollers ^vhose surfaces are in contact, these surfaces 
representing the pitch circles of the gears. 

Pitch of Gears. 

For convenience of expression the pitch of gears may be 
stated as follo'ws : 

Ci?-c?ilar pitch is the distance from the centre of one tooth to 
the centre of the next tooth, measured on the pitch line. 

Diamet}-al pitch is the number of teeth in a gear per inch of 
pitch diameter. That is, a gear that has, say, six teeth for each 
inch in pitch diameter is six diametral pitch, or, as the expres- 
sion is universally abbreviated, it is " six pitch." This is by 
far the inost convenient "wav of expressing the relation of 
diameter to number of teeth. 

^Iodide is the pitch diameter of a gear divided by the 
number of teeth. 




Fig. 3, 



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FORMULAS. 

N = number of teeth. 
5 = addendum and module. 
/ = thickness of tooth on pitch line. 
t" = chordal thickness of tooth. 
f = clearance at bottom of tooth. 
D" ^ working depth of tooth. 
D"-l-/= whole depth of tooth. 
D'= pitch diameter. 
D = outside diameter. 
P' = circular pitch. 
P = diametral pitch. 
H =: height of arc. 

/' = distance from chord to top of tooth. 
c = centre distance. 
^ = ^ the angle subtended by circular pitch. 

p ^ N + 3 _ 7t 
P' = 



D ~ P' 




CI T 




P '^ '^ 90° N 




I P' 

' = =.3183^ = 

P 7t ^ ^ 


D' D 


N ~ N + 2 


Y Tt 

2 ~ 2P 




t 




10 





/ 

D =2S =- 

D"-f /= ^^ = .6^66 r 

w_ N _ NP- 

_N + 2 



^ = 90° j^ ^ D^(i-cos6') 

N 2 

/' = D' sin e /' — ^ I H 



CHAPTER III. 



BEVEL GEARS— AXES AT RIGHT ANGLES. 




N, 
P 

& a 

K 
A 

A': 
D': 

S : 
t: 

/-- 

b-- 
F: 



~\ 



Fig. d. 



FORMULAS. 

[ Number of teeth \ ^/ . * 
) ( pinion. 

diametral pitch. P' = circular pitch. 

centre angle = angle of edge \ gear. 

or pitch angle. ( pinion. 

angle of top. fi' = angle of bottom. 

) ^ c c f gear. 
Y angle of face ■\^. . 
) ° ( pinion. 

1 ( gear, 
cutting angle ^ . . 

° ° ( pinion. 

apex distance from pitch circle. 

apex distance from large bottom of tooth. 

pitch diameter. D = outside diameter. 

addendum and module. 

thickness of tooth at pitch line. 

clearance at bottom of tooth. 

working depth of tooth. 

whole depth of tooth. 2 a :^= diameter increment. 

distance from top of tooth to plane of pitch circle. 

width of face. 



BROWN & SHARI'E MVC. CO. 15 



tan a\, = — rr- — ; tan a^ = 



N,. ' " N„ 



,, 2 sin a ^ /J -S" 

tan p = ; or tan p — — • 

tan /J- ^ ^^"^^^^^^t"^) = ^-3^4 sin o' ^^^ ^^' ^ s+f 

' N N A 

^„=. 90° - {a^ + /3) -g, = 90° - {a, + 13) 
h — a— fi' {See page 41.) 

"2 



^=^(rp)^M§r 



A N 



2 P sin a 



A'=^ A'= f^ 



cos/J' 2 P sin <:r cos ft' 

A = -^^, cos ft 

sin (rv + ft) ' 

p ^ 



3 A sin ^J' 



N N P' 

D' = ^ or = ^^^ D = D' + 2 a 

P TT 

2 a ^ 3 j- cos a {^For tables see pages yo to yj.) 

, ( a for gear = b for pinion 

b=^ a tan <a' -" .. '^ . . , r 

( a for puiion = for gear 

P=^ F=— 

P' P 

s=^= ^=.3183 F = A tan ft 

^ +/= .36S5 P' = A tan // = ^ ( I 4_ ^) 



D" = 3 5 




3 3P 


/ 


*F = A or *F = 
3 


_5P' 

2 



10 



Note. — Formulas coutaining notations without the designating letters 
a and h apply equally to either gear or pinion. If wanted for one or the 
other, the respective letters are simply attached. 

*The formula givuig the lesser value of Y should always be used. 



i6 



BROWN & SHARPE MFG. CO. 



BEVEL GEARS WITH AXES AT ANY ANGLE. 




Pinion 



Fig. 5. 



FORMULAS. 

C = angle formed by axes of gears. 

, t" ;- number of teeth \^ . .' 

JN^ = ) ( pinion. 

P = diametral pitch. P' = circular pitch. 

angle of edge = pitch angle \^ . .' 
^ to r ( pinion. 

/? = angle of top. /3' = angle of bottom. 

^" }- angle of face -^ '^ . . ' 
^6= j ^ (pinion. 

^^o = ] 4-*.- it gear. 

7" y cutting: angle - >. . 
/^j = ) & fc. ^ pinion. 

A = apex distance from pitch circle. 

A' = apex distance from large bottom of tooth. 

D' = pitch diameter. D = outside diameter. 

2 a = diameter increment. 

(5 = distance from top of tooth to plane of pitch circle. 



Note. — The formulas for tooth parts as given on page 13 apply equally 
to these cases. 



tan «'„ 

tan <-)',, 


= ^^^ ; or cot 0(a = :r= '. ^ 

N. ^ ^Q3 c N. sin L 
sin C N,. 


^ + COS C ^' «"^ *^ 



BROWN & SIIARPE MFG. CO. 1 7 

sin C , ^'' I ^ r^ 

4- cot C 

+ cot C 
: + cosC iN.smu 

Note. — The above formulas are correct only for values of C less than 90°. 
If C is greater than 90°, consult page 19. 

,, 2 sin 0( ,3 S 

tan (3 = — ^^ ; or tan /3 = ~ ; 

tan fS' = '''' " ^^^~^^ = "■''^/'" " ; tan P' = -^ ; 

^„ = 90° — - (a'a + /?) for Cases I and II. 

^, r:= /i, for Case III. 

^„ =r go° — (o', — /i) for Case IV. 

k z= a — /i' (See page 41.) 

A N 



A': 



2 P sin a 
A 



cos /)' 



N N P' 

^=P°^=^^ 

•p. F)' _i -, ^ t°r Cases I and II, 

"•" ^ ( and pinions in Cases III and IV. 

D = D', for gear in Case III. 

D = D' — 3 «, for gear in Case IV. 

2 a ^ 2 s cos a 

5 = s sin a 

Note. — Formulas containing notations without tlie designating letters 
a and b apply equally to either gear or pinion. If wanted for one or the 
other, the respective letters are simply attached. 



i8 



BROWN & SHARPE MFG. CO, 




BROWN & SHARPE MFG. CO. 1 9 

The formulas given for <t„ and (v^ (when C, N„ and Nji, are 
known) undergo some modifications for ^•ahles of C greater 
than 90°. 

For hevel gears at anv angle but 90° we may distinguish 
four cases ; C, N„, N{, being given. 

/. Case. See pages 16 and 17. 

//. Case. C is greater than 90°. 

sin ( 1 80 -C) sin ( I So -C) 

tan a„ = —= ^ — : tan (Xf.= 



■NT » "0 -NT 

-=-'-cos (iSo-C) ^"-cos (180-C) 

III. Case, a^ = 90° ; o'^ = C — 90° 

JJ\ Case. 

sin E sin E 

tan a„ = ;r^ : tan a^ = 



— ^i;^ :^rF COS h. 

For an example to apply to Case III., the following condition 
must be fulfilled : 

N„ sin (C - 90°) = N, 

To distinguish whether a given example belongs to Case II. 
or Case IV., w^e are guided by the following condition : 

T • TV ■ ^P °^ ^ 5/;z(3://er than Nj, -we have Case II. 

" ^ 1 larger than Nj, we have Case IV. 



UNDERCUT IN BEVEL GEARS. 

By undercut in gears is understood a special formation of 
the tooth, which may be explained by saying that the elements 
of the tooth below the pitch line are nearer the centre line of 
the tooth than those on the pitch line. Such a tooth outline is 
to be found only in gears with few teeth. In a pair of bevel 
gears where the pinion is low-numbered and the ratio high, we 
are apt to have undercut. For a pair of running gears this 
condition presents no objection. Should, ho'vvever, these gears 
be intended as patterns to cast from, they would be found use- 
less, from the fact that they would not draw out of the sand. 
We have stated on page lo (see Fig. i) that the base of our 
involute system is the 14^^° pressure angle. 



20 BROWN & SHARPE MFG. CO. 

If a pair of bevel gears with teeth constructed on this basis 
have undercut, we can nearly eliminate the undercut — and for 
the practical working this is quite sufficient — by taking as a basis 
for the construction of the tooth outline a pressure angle of 20°. 

The question noAV is : When do we and when do we not 
have undercut ? Let there be : 

N = number of teeth in gear. 
n = number of teeth in pinion. 



4 






N 

where we have undercut for p less than 30. 

This formula is strictly correct for epicycloidal gears only. 
It is, however, used as a safe and efficient approximation for 
the involute system. 



CHAPTER IV. 



WORM AND WORM WHEEL. 




23 BROWN & SHARPE MFG. CO. 



FORMULAS. 



L = lead of worm. 

N = number of teeth in gear. 

in = turns per inch of worm. 

d =^ diameter of worm. 

d' = pitch diameter of worm. 

d^^ =. diameter of hob. 

D = throat diameter. 

D'' = pitch diameter of worm wheel. 

B = blank diameter (to sharp corners). 

C = distance bet^ween centres. 

P = diametral pitch. 

P'' = circular pitch for worm wheels or axial pitch for 

w^orms. 

/ > 

yf > See figure 7. 

s =' addendum and module. 
/ = thickness of tooth at pitch line. 
/" = normal thickness of tooth. 
y = clearance at bottom of tooth. 
D" = working depth of tooth. 
D"-[-/= whole depth of tooth. 

d = pitch circumference of worm. 
V = width of worm thread tool at end. 
tu = width of worm thread at top and width of hob 
tool at end. 

d = angle of tooth of worm wheel with its axis, or the 
angle of thread of w^orm with a line at right angles to its axis. 

If the lead is for single, double, triple, etc., thread, then 
L = P', 2 P', 3 P', etc. 

In multiple threaded worins and their mating wheels, if the 
angle 6 is more than 15° the tooth parts should be figured on 
the normal as for spiral gears. In using the formulas for spiral 
gears, it should be borne in mind that while P' is the axial pitch 
for worms it "is the circular pitch for spiral gears. 



BROWN & SIIARPE MFG. CO. 23 



a ■=. 


60° to 90° 




I 


L = 






;;/ 




7t T 


P' — 




X 


N + 3 




N P' N 


D' = 


— — 




TT P 




N 


D = 


p + - 


b = 


7t {d 2S 



) = 7t d' 

™ L f Practical only when width of wheel on wheel pitch 

b \ circle is not more than J/^ pitch diameter of worm. 

r ^= i cos d 

, d 
r = — — z s 

2 

_ V>' ^d _ _ D^ + d : 



B 



= D + 3 Cr' - r' cos -^ 



A measurement of sketch is 
generally sufficient. 



d"=d^2f. 

w = -335 P' 

Note. — The notations and formulas referring to tooth parts, given on 
page 13, for spur gears, apply to worm wheels and are here used. 

Note. — Hob and worm should be marked, as per example : 
4 turns per i" single .25 P' ; .25 L. 
2 turns per i" double .25 P' ; .50 L. 



24 



BROWN & SHARPE MFG. CO. 



UNDERCUT IN WORM WHEELS. 

In worm wheels of less than 30 teeth the thread of the -worm 
(when 29°) intei-feres with the flank of the gear tooth. Such 
a wheel finished with a hob will have its teeth undercut. To 
avoid this interference two methods may be employed. 

First Method. — Make throat diameter of wheel 



D 



H^ 



N 



+ 4 



•937 N 



+ 4-^ 



p I -r- p 

This formula increases the throat diameter, and conse- 
quently the centre distance. The amount of the increase can 
be found by comparing this value of D with the one as obtained 
by formula on page 23. To keep the original centre distance, 
the outside diameter of the worm inust be reduced by the same 
amount the throat diameter is increased. * 

Second Method. — Without changing any of the dimensions 
we found by the formulas given on page 23, we can avoid the 
interference to be found in worm wheels of less than 30 teeth 
by simply increasing the angle of worm thread. We find the 
value of this angle by the following formula : 
Let there be 

2 y z=i angle of worm thread. 

N =: number of teeth in worm wheel. 



cos;K=^r 
From this formula we obtain the following: values 



2 

1^ 



N 


29 


28 


27 


26 


25 


24 


23 


3 3 


21 


2y 


301/4 


31 


3iy2 


32V4 


32% 


33y2 


34^/4 


35 


36 


N 


19 


iS 


17 16 


15 


14 


13 


12 




2 y 


38 


39 


40 


411/2 


42% 


44y2 


46I/4 


48 





20 

37 



As this latter formula involves the making of new hobs in 
many cases, on account of change of angle, we prefer to reduce 
the diameter of worm as indicated by first method, if the 
distance of centres must be absolute. 



Chapter v. 



SPIRAL OR SCREW GEARING. 




Fig. 8. 

RIGHT HAND SPIRAL GEARS. 

In Spiral gearing the wheels have cylindrical pitch surfaces, 
but the teeth are not parallel to the axis. The line in which 
the pitch surface intersects the face of a tooth is part of a 
screw line, or helix, drawn at the pitch surface. A screw 
wheel may have one or any number of teeth. A one-toothed 
wheel corresponds to a one-threaded screw, a many-toothed 
wheel to a many- threaded screw. The axes may be placed at 
any angle. 

Consider spiral gears with : 

I. Axes parallel. 
II. Axes at right angles. 
III. Axes any angle. 



26 



BROWN & SHARPE MFG. CO. 




number of teeth in gears < , 



Fiff. 9. 

LEFT HAND SPIRAL GEAR. 
Let there be : 

C = centre distance. 

P' = circular pitch (circumferential not axial). 
P" = normal diametral pitch. 
P'" = nornial circular pitch. 

y = angle of axes. 

Lj = exact lead of spiral on pitch surface. 
L^ = approximate lead of spiral on pitch surface. 

T r= number of teeth marked on cutter to be used when 

teeth are to be cut on milling machine. 
D' = pitch diameter. 

D = outside diameter. 



angle of teeth with axis 



^b = 

t = thickness of tooth. 
s = addendum and module. 
D" +/= whole depth of tooth. 

Note. — Letters a and d occurring at bottom of notations refer to gears a and 3. 

I. — Axes Parallel. 
Gears of this class are called twisted gears. The angle of 
teeth with axes in both gears must be equal and the spirals 
run in opposite directions. The angles are generally chosen 
small (seldom over 20°) to avoid excessive end thrust. End 
thrust may, however, be entirely avoided by combining two 
pairs of wheels with right and left-hand obliquity. Gears of 
this class are known as Herringbone gears. They are com- 
paratively noiseless running at high speed,, 



BROWN ^<: SlIAKPK ISIVG. CO. 2 7 

II. — Axes at Right Angles. 
Here we must always have : 

1. The teeth of same hand spiral ; 

2. The normal pitches equal in both gears ; and 

3. The sum of the angles of teeth with axes = 90'^. 

Choosing Angle of Teeth with Axes. 

1. If in a pair of gears the ratio of the number of teeth is 
equal to the direct ratio of the diameters, /. e., if the number of 
teeth in the two gears are to each other as their pitch diame- 
ters, then the angles of the spirals will be 45° and 45° ; for, this 
condition being fulfilled, the circular pitches of the two gears 
must be alike, which is only possible with angles of 45°. In 
such a combination either gear may be the driver. 

2. If the ratio of the diameters determined upon is larger 
or smaller than the ratio of the number of teeth, then the 
angles are : 

In such gears the velocity ratio is measured by the number 
of teeth, and not by the diameters. 

3. Given N^, Nf, and C : 

If PJ is made = P;,', then we have case " i " and 

p'^ TT C 

>4(N„+N,) 
But if Pa' is assumed, then : 

, _ C7r->^ N„P.- 

and 

. tan a„ = - ^ tan at, = -A 

The gear whose P' or a is larger will ordinarily be the 
driver, on account of the greater obliquity of the teeth. 

4. Given N„, N, and C or D'. 

See case " 7 " under III., considering y = 90°. 

III. — Axis at any Angle (y). 

5. Given case " i," under II., then angles of spirals = I/2 y-, 
for the same reason. 

6. Analogous cases to "3" and "3," under II., may be 
worked out, when angles of axes = ;/, but they haAe been 



28 



BROWN & SHARPE MFG. CO. 



omitted, partly because the formulas are too cumbersome, and 
partly because they are to some extent covered by cases "5" 
and " 7." 

7. Given N^, N,, and C, or one of the pitch diameters. We 
find the angles by a graphic method, which for all practical 
purposes is accurate enough ; ro and v are the axes of gears 
forming angle y (see diagram, Fig. 10.) On these axes we 
lay off lines r and v representing the ratio of the number 
of teeth (velocity ratio), so that \^a'-^h'- '■ r s \ s v, and 




Fig. 10. 



construct parallelogram r s v. Then, according to Mc- 
Cord,* the angles formed by the tangent i" ^ in the pitch con- 
tact o with the axes of the gears insures the least amount of 
sliding. In bisecting angle y by tangent u and using angles 
produced in this manner we eq7ially distribute the end th7'ust on 
both shafts. Both methods have their advantages ; to profit 
by both w'e select angles a^ and o'^, produced by tangent o x^ 
bisecting angle ti s. 

Thus we have when angles are found and C given, 
2 C tt cos a^ cos a^ 



and when D'„ given 



Xi'n __ 
1 



N„ cos a^ + Nj cos ar„ 
D' 7t cos a„ 






and 



7t cos Cfj 



*McCord, Kinematics*, page 27S. 



BROWN & SHARPS MFG. CO. 



29 



General Formulas. 



r = ^a + t^b 

Pfn T> 'n 
a ^6 

Df ^ ^^ 
= or 



P'» N 



D 
P' 



7t 7t COS a 

D' + 3 ^ or = D' + 



D' 7t 



Y'n 



or 



N cos a 

F« = P' cos a 

P'" I 



P" = T^ (Pitch of cutter.) 



— or = -— 
n P" 



T ^^^ 



cos" a 



NP' 

1^1 = or -pj 

tan a P tan a 



10 

(See Note i.) 



ris:ht ancrles 



or for cases \vhere axes are at 



U 



N. P' 



10WG2 
S Gi 



(See Note 2 and examples.) 



cos 45° = .70711 
cosH5°= .3535 
tan 45° :^ 1 .000 



Note i. — Cutters of regular involute system 

Use No. I cutter for T from 135 up. 

2 '^ '' '^ " 55 to 134 

3 " " " " 35 to 54 
" 4 " " " " 26 to 34 



No. 5 cutter for T from 21 to 25 

Li 5 II ;i II n 17 to 20 
" 7 " " " " 14 to 16 
"8 " " " " 12 to 13 



Note 2. — Gears used oa spiral head of milling machines made by 
Brown & Sharpe Mfg. Co. 

W = number of teeth in gear on worm. 
Gi = " " ist '•'• stud. 

62= " " 2d '' stud. 

S ^ " '' " screw. 

Should a spiral head of different construction be used, the formula 
might not apply. 



30 



BROWN & SHARPE MFG. CO. 



The following data are usually required in cutting spiral 
gears in a Universal Milling Machine, and it will be found, 
convenient to arrange them in tabular form as follows : 





GEAR. 


PINION. 


No. of Teeth - ' 

Pitch Diameter - - - 

Outside Diameter -------- 

Circular Pitch -- 

Angle of Teeth with Axis - - - - - 

Normal Circular Pitch 

Pitch of Cutter- -------- 

Addendum s --------- 

Thickness of Tooth t ------ 

Whole Depth D"+f - ------ 

No. of Cutter -------- 

Exact Lead of Spiral ------- 

Approxmiate Lead of Spiral - - - - 




' 


Gears on Milling Machine to Cut Spiral 

Gear on Worm 

1st Gear on Stud 

2nd Gear on Stud -------- 

Gear on Screw --------- 







If the exact lead Li can be obtained by the gears at hand, 
Lj will equal Lo and we shall have from the formula 
10 W Go 



S Gi 

WjSo 

S G, 



(for B. & S. Milling Machine.) 



10 

Example L 

Required the gears for cutting a spiral of 2^" lead. 

2^ I 

~'^~ factoring, in the most simple way, we have 

I I X I I X 28 32 X 28 W G2 
4 ^ 2x2 ~ 56 X 2 ~ 56 X 64 ^ S Gi 



BROWN & SHARPK MFG. CO. -^ I 

Thus the gearing will be 32 T. on worm, 64 T. ist. on stud, 
28 T. 2nd on stud, and 56 T. on screw. 

Trying these gears on the Milling Machine we find that 
they cannot be used, and as we have no other regular gears 
in the ratio of 2 to i that can be used we must try, by factor- 
ing, to get such ratios for the two pairs of gears as to be able 
to use the gears at hand, bearing in mind that the combined 
ratio must be ^. 

I 18 3x6 24 X 6 24 X 48 



4 72 9x8 9 X 64 72 .X 64 

These gears are at hand and the combination can be used 
on the machine, giving the exact lead of 2^". 

Example II. 

Required the gears for cutting a spiral of 8.639" lead. 

8.639 = SyVA y reducing, by continued fractions, to a 
smaller fraction of approximately the same value, as described 
on pages 50 and 5 i 



639 ) 1000 ( I 
639 

361 )639( I 
361 

278 ) 361 ( I 
278 

""sT) 278 ( 3 
249 

29 ) 83 ( 2 
58 
25)29(1 

25 

4)25(6 
24 

I )4(4 
4 





BROWN 


& SHARPE 


MFG. CO. 




I 


I I 


3 2 


I 6 


4 


1 

1 


^ § 


7 1 li 
11 25 


2 3 15 4 
"3(1 24T 


li 3 il 
TOTJTT 



Selecting i| as an approximation near enough for our 
purpose, and in fact as near as we are likely to find gears for, 
we have for, our lead 8i|. Applying the formula as in Ex- 
ample I. 

J-^ W Go 



iZ 



10 S Gi 

8|| _ 226 _ 108 
10 250 125 



factoring we have 



9 X 12 9 X 48 72 X 48 

JfY~S = T^^Yl = 100 X 40 ^^^ ^^^'^ required, 

these being regular gears furnished with the Milling Machine. 

Proof : 

72 X 48 X 10 _ ^. ^ 
= 8.640 = L, 

100 X 40 o ^ T " 

8.639 = Li 
.001" error in lead. 

In shops where much work is done in milling spirals it is 
desirable to have a full set of gears for the milling machine, 
from the smallest to the largest numbers of teeth that can be 
used. This makes it possible, in most cases, to get closer 
approximations than could be otherwise obtained, and often 
saves a great deal of figuring. 

When the use of continued fractions does not bring a 
close enough approximation, one method to secure a closer 
result is to add to or substract from the numerator and de- 
nominator of the fraction to be reduced, any numbers nearly 
in proportion to the given fraction, seeing that the numbers 
added or substracted are such as to make the fraction reduc- 
ible to lower terms. By a little ingenuity and patience ex- 
tremely close approximations can generally be reached in 
this way. 

Take, as an illustration, the fraction in Example II. 



10 I 0000 

Adding 9 to the numerator and 10 to the denominator, these 



BROWN & SlIARPE MFG. CO. 33 

being in about the same ratio to each other as the numerator 
and denominator of the fraction, we have 

8639+9 = 8648 _ 4324 __ 47 X 92 
10000+10 = looio 5005 55 X 91 

All of the gears in this case are special. 

Applying the same proof as in Example II. we find that 
this train of gears will give a lead of 8.6393+, making an 
error of .0003" in the lead. 

No doubt a much closer approximation even than this 
could be obtained by further trial. 

Another method is to multiply both terms of the fraction 
by some number which will make one term of the fraction 
easily reducible, and adding one to or subtracting it from the 
other term to make it possible to reduce that also. 

There is an element of uncertainty in both these methods, 
as we never feel sure that we have obtained the best combina- 
tion ; practical work, however, rarely requires accuracy beyond 
a point that can readily be reached. 

The tables of prime numbers and factors, pages 116 to 149, 
will be found convenient in reducing and factoring fractions. 
These tables are condensed as much as possible and give all 
numbers from i to 10,200. 

The table of leads, pages 154 to 171, gives all leads obtainable 
with the regular gears furnished with the Universal Alilling 
Machines made by Brown & Sharpe Mfg. Co. 



Chapter vi. 
INTERNAL GEARING. 

PART A.— INTERNAL SPUR GEARING. 



A little consideration will show that a tooth of an internal 
or annular gear is the same as the space of a spur — external 
gear. 

The epicycloidal form of tooth is preferable for internal 
gears, as there is less difficulty in overcoming the inter- 
ferences. The involute form of tooth can be used by 
changing the pressure angle beyond the limit of inter- 
ference. Special constructions are required when the differ- 
ence between the number of teeth in gear and pinion is 
small. 

In using the system of epicycloidal form of tooth in 
which the gear of 15 teeth has radial flanks, this difference 
must be at least 15 teeth, if the teeth have both faces and 
flanks. Gears fulfilling this condition present no difficulties. 
Their pitch diameters are found as in regular spur gears, and 
the inside diameter is equal to the pitch diameter, less twice 

the addendum. 

If, however, this difference is less than 15, say 6, or 2, or i, 
then we may construct the tooth outline (based on the epicy- 
cloidal system) in two different ways. 

First Method. — To explain this method better, let us sup- 
pose the case as in Fig. II, in which the difference between 
gear and pinion is more than 15 teeth. Here the point o of 
the describing circle B (the diameter of which in the best 
practice of the present day is equal to the pitch radius of a 15 
tooth gear, of the same pitch as the gears in question) gene- 
rates the cycloid o, o', o^, o^, etc., when rolling on pitch circle 
L L of gear, forming the face of tooth ; and when rolling on 
the outside of L L the flank of the tooth. In like manner is the 
face and flank of the pinion tooth produced by B rolling out- 
side and inside of E> E (pitch circle of pinion). A little study 



BROWN & SHARPE MFG. CO. 35 

of Fig. 1 1 (in which the face and flank of a gear tooth are 
produced) will show the describing circle B divided into 12 




equal parts and circles laid through these points (r, 2, 3, etc.), 
concentric with L L. We now lay off on L L the distances 
o-i, 1-2, 2-3, etc., of the circumference of B, and obtain points 



36 



BROWN & SHARPE MFG. CO. 



i^, 2^, 3^, etc. [Ordinarily it is sufficient to use the chord.] It 
will now readily be seen that B in rolling on L L will success- 
ively come in contact with i'^, 2^, 3^, etc., c meanwhile moving 
to c\ c", c"^ etc. (points on radii through i^, 2^, 3^, etc.), and the 
generating point o advancing to o\ o^, o'^, etc., being the inter- 
sections of B with c^, c^, c^, etc., as centres and the circles laid 
through I, 2, 3, etc. Points o, o\ o^, o^, etc., connected with a 
curve give the face of the tooth ; in like manner the flank is 
obtained. 

In this manner the form of tooth is obtained, when the 
diflference of teeth in gear and pinion is less than 15, with the 
exception that the diameter of describing circle B 



where P '=■ diametral pitch, Na and Nb number of teeth in 
gears. 

The distances of the tooth above and below the pitch line 
as well as the thickness t are determined as in regular spur 
gears by the pitch, except when the difference in gear and 
pinion is very small, where we obtain a short tooth, as in Figs. 
12 and 13. In such a case the height of tooth is arbitrary and 
only conditioned by the curve. In internal gears it is best to 
allow more clearance at bottom of tooth than in ordinary spur 
gears. 



29 TeetJi 




30 Teeth 



A.'- 



Fig. 12. 



4.2 T. 



8 P. 




In a construction of this kind it is suggested to draw the 
tooth outline many times full size and reduce by photography. 
An equally multiplied line A B will help in reducing. 



BROW.V & SHARPE MFC, CO. 



37 




38 ' BROWN & SHARPS MFG. CO. 

Second Method. — The difference between gear and pinion 
being very small, it is sometimes desirable to obtain a smooth 
action by avoiding what is termed the " friction of approach- 
ing action."* This is done, the pinion driving., by giving gear 
only flanks, Fig. 14, and the gear driving, by giving gear only 
faces, Fig. 15. In both these cases we have but one describ- 
ing circle, whose diameter is equal to the difference of the two 
pitch diameters. The construction of the curve is precisely 
the same as described under A. The describing circle has 
been divided into 24 parts simply for the sake of greater 
accuracy. 



PART B.— INTERNAL BEVEL GEARS. 



The pitch surfaces of bevel gears are cones whose apexes 
are at a common point, rolling upon each other. The tooth 
forms for any given pair of bevel gears are the same as for a 
pair of spur gears (of same pitch) whose pitch radii are equal to 
the respective apex distances of the normal cones (/. ^., cones 
whose elements are perpendicular upon the elements of the 
bevel gear pitch cones). (Compare Fig. 17, page 40.) 

The same is true of internal bevel gears, with the modifica- 
tion that here one of the pitch cones rolls inside of the other. 
The spur gears to whose tooth forms the forms of the bevel 
gear teeth correspond, resolve themselves into internal spur 
gears (Fig. 16). The problem is now to be solved as indicated 
in the first part of this chapter. 



* McCord, Kinematics, pages 107, io8. 



BROWN & SHARPE MFG. CO. 



39 



s p. 

Geffv 40 Teeth 
Pinion '^O Tovth 




Fig. 16. 



CHAPTER VII. 



DIMENSIONS AND FORM FOR BEVEL GEAR 
CUTTERS. 




Fig. 17. 



27 Teeth 
No. 3 Cutter" 



To determine the form and thickness of a bevel gear cutter, 
it is necessary to know the pitch, number of the teeth in gear 
and pinion, the angle of axes and the length of face of the tooth 
measured on the pitch line. 

In the involute system of cutters (the only one used for bevel 
gears that are cut with rotary cutters) , a set of eight different 
cutters is made for each pitch, numbered from i to 8 and cutting 
from a rack to 1 2 teeth. 

In spur gearing each number represents the form of cutter 
suitable to cut the indicated number of teeth. Thus, the No. 6 
cutter will cut 17 to 20 teeth. 

In bevel gearing the curve is also dependent on the number 
of teeth in the mating gear ; therefore gears with the same 



BROWN & SIIARPE MFG. CO. 4 1 

number of teeth cannot always be cut with the same numlier of 
cutter. Thus, a 19 tooth pinion would be cut with a Xo. 4 
cutter if it were to run with a 20 tooth gear, and with a No. 6 
cutter if it were to run with a c;o tooth gear. 

In order to find the curve to be used for gear and pinion, 
find the back cone radius, a <$, for the gear and b c for the 
pinion, and multiplying each by twice the diametral pitch, we 
obtain a number equivalent to the number of teeth fc^r which 
cutters of proper curves may be selected. 

For table, see Note i, page 29. 

The number of teeth for which the cutter should be selected 
can also be fovuid by the following formulas : 

N„ = number of teeth in gear. 

N^ = number of teeth in pinion. 

T„ = number of teeth to select cutter for gear. 

Tj, = number of teeth to select cutter for pinion. 

a = centre angle of gear. 

N„ 



T = — / N- — N? 

N,\ " ^' 



N. 



The above formvilas apply onlv when axes of gears are at 
right angles. For axes at any angle the following formula can 
be used : 

N 



T = 



Cos a 



The tables, pages 86 and 87, are convenient for selecting 
cutters for bevel gears. They apply only when the axes are at 
right angles. 

It is the practice to make bevel gear cutters .005'' thinner 
than the space at the small end of the tooth. Theoretically the 
cutting angle (/i) is equal to the pitch angle less the angle of 
bottom (or /i = a — B')' Practically, however, better results 
are obtained by making h ■= a — B (substituting angle of top 
for angle of bottom) , and in calculating the depth at small end, 
to add the full clearance (_/") to the obtained working depth, 
giving an equal amount of clearance at the large and small ends. 
This is done to obtain a tooth thinner at the top and more 



42 BROWN & SHARPS MFG. CO. 

curved. As the small end of the tooth determines the thickness 
of cutter, we shall have to find the tooth part values at the small 
end. These are obtained by multiplying the tooth part values 
at the large end by the constant, 

2 P F sin a 

I qr^= where 

N 

P = diametral pitch. 

F = length of face of tooth measured on pitch line. 

N = number of teeth in gear. 

a = angle of edge or centre angle of gear. 



Example. G: 


iven gears 17 and 27 teeth, 12 pitch, %'' face. 


Required 


tooth parts at small end of tooth. 


a = 32° 12 


' (obtained fom table, page 78). 


sin 32° 12 


'=•53 


288 . 




I — 


24 X -375 X .53288 

— ! ^^-^ ^^ = .718 constant. 


/= .1309 




/' = .1309 X .718 = .0940 


s = .0833 




s' = .0833 X .718= .0598 


/= -0131 




/ = -0^31 


. +/=. 


,0964 


/ +/= .0598 + .0131 = .0729 


D-+/= , 


,1798 


D-+/=. 0729 + .0598=. 1327 



If in gears of more than 30 teeth the faces are proportion- 
ately long, we select a cutter whose curve corresponds to the 
midway section of the tooth. The curve of the cutter is found 
by the method explained in the first part of this chapter. 



CHAPTER VIII. 

THE INDEXING OF ANY WHOLE OR FRACTIONAL 
NUMBER— DIFFERENTIAL INDEXING. 




-Change Gear 

Fig. 18. 



In indexing on a machine the question simply is : How- 
many divisions of the machine index have to be advanced to 
advance a unit division of the number required. To which 
is the 

divisions of machine index 

answer = 

number to be indexed 

Suppose the number of divisions in index wheel of machine 
to be 216. 



Example I. — Index 72. 
Answer: 216 



72 



= 3 (3 turns of worm). 



44 BROWN & SHARPB MFG. CO. 

Example II. — Index 123. 

— = I + -93 
123 123 

If now we should put on worm shaft a change gear having 
123 teeth, give the worm shaft, Fig. 18, one turn, and in addi- 
tion thereto advance 93 teeth of the change gear (to give the 
fractional turn), we would have indexed correctly one unit of 
the given number, and so solved the problem. Should we not 
have change gear 123 we may try those on hand. The ques- 
tion then is : How many teeth (j) of the gear on hand (for 
instance 82) must we advance to obtain a result equal to the 
one when advancing 93 teeth of the 123 tooth gear ? We have : 

■^A. = A. where ;}f = 62 
123 82 

Example III. — Index 365, change gear 147. 

= -^— where j = 87 — -^- 

365 147 365 

Here 147 is the change gear on hand. In indexing for a unit 
of 365 we advance 87 teeth of our 147 tooth gear. It is evident 
that in so doing we advance too fast and will have indexed 
three teeth of our change gear too many when the circle is 
completed. To avoid having this error show in its total amount 
between the last and the first division, we can distribute the 
error by dropping one tooth at a time at three even intervals. 

Example IV. — Index 190. 

216 _ , 26 

iQO ~" Too Change gear on hand 88 T 

— = — where ;|f = 12 + — - 
190 88 190 

To distribute the error in this case we advance one additional 
tooth ot a time of the change gear at eight even intervals. 

Example V. — Index 117.3913. 

216 _ 986087 



117-3913 1173913 

This example is in nowise different from the preceding 
ones, except that the fraction is expressed in large numbers. 
This fraction we can reduce to lower approximate values, 
which for practical purposes are accurate enough. This is 
done by the method of continued fractions. [For an explana- 



BROWN & SHARPE MFG. CO. 45 

tion of this method we refer to our '* Practical Treatise on 
Gearing."] 

9S60S7 
1 1 73913 
986087) 11739^3 (i 
9S6087 

187S26) 986087 (5 
939130 

46957) 187826 (3 
140S71 

46955) 46957 Cr 
46955 

2) 46955 (23477 
4695 4 

I) 2 (a 



= I 
"73913 



5_+i 

i + i 



23477 + £ 
2 

^=3 I 23477 



a =^ 1 i = ^ d — 16 21 493033 986087 
«i=i b' —!> d' = ig 25 586944 1173913 

Note. — Find the first two fractions by reduction - = - and — ; — = ^ i the 

II I + I 6 



S 



others are then found by the rule \ '■ ~t~ ^ 



The fraction |^ is a good approximation; putting therefore 
a change gear of 25 teeth on worm shaft, we advance (beside 
the one full turn) 21 teeth to index our unit. 

Of course, in using any but the correct fraction we have an 
error every time we index a division ; so that when indexed 
around the whole circle, we have multiplied this error by the 
number of divisions. 

In the present example this error is evidently equal to the 
difference between the correct and the approximate fraction 
used. Reducing both common fractions to decimal fractions 
we have : 

-5 L = .84000006 

1173913 

21 

Y^ =.84000000 

.00000006 =^ error in each division. 



46 



BROWN & SHARPE MFG. CO. 



.00000006 X 1 17.3913 = .00000704348 total error in complete 
circle. This error is expressed in parts of a unit division. (To 
find this error expressed in inches, multiply it by the distance 
between two divisions, measured on the circle.) In this case 
the approximate fraction being smaller than the correct one, 
in indexing the whole circle we fall short .00000704348 of a 
division. 



Example VI.- 


—Index 15.708 




• 


216 _ J, ^ 11796 




15.708 ^ 15708 




ii796_ 983 






15708 1309 






983) 1309(1 






983 






326) 983 (3 






978 






5) 326 (65 






30 






26 






25 






1)5(5 






5 













983 _, 






1309 I ^ X 






3+1 






65 +f 






S 






I 3 65 


5 




I 3 196 


983 




I 4 261 


1309 



In using the approximation |^f f- the error for each division 
(found as above) will be .000002927, for the whole circle 
.0000460. In this case, the approximation being larger than 
the correct fraction, we overreach the circle by the error. 



BROWN & SHARPE MFG. CO. 47 



DIFFERENTIAL INDEXING. 

In differential indexing the spindle or driven shaft and the 
index plate are connected by a train of gearing which causes the 
plate to turn either in the same or opposite direction to that in 
which the crank is turned. The total movement of the crank at 
every indexing is, therefore, equal to its movement relative to the 
plate, plus the movement of the plate, when the plate revolves in 
the same direction as the crank, or minus the movement of the 
plate, when the plate revolves in the opposite direction to the 
crank. 

N := number of divisions required. 
H = number of holes in index plate. 

n •=. number of holes taken at each indexing. 
V = ratio of gearing between index crank and spindle. 

X = ratio of the train of gearing between the spindle and 

the index plate. 

S = gear on spindle. ) -rx . 

^ ^ . 1 i Drivers. 



Gi = 1st gear on stud. ) 

Go = 2d gear on stud. ) -r>, . 
,,/ ^ \ Driven. 

W = gear on worm, j 



HV N;2 . 

X = Yj ^f HV is greater than N^. 

N/Z HV ., ^^^^ . , , TVT 

X = — -if HV is less than Nn. 

H 

g 
X = ^^ (For simple gearing). 

S C 
X = ^ (For compound gearing). 

As applied to the spiral head of a Milling Machine made by 
Brown & Sharpe Mfg. Co., V is equal to 40 and the index 
plates furnished have the following numbers of holes : — 15, 16, 
17, 18, 19, 20, 21, 23, 27, 29, 31, 33, 37, 39, 41, 43, 47, 49. 

The gears furnished have the following numbers of teeth : — 
24 (2), 28, 32, 40, 44, 48, 56, 64, 72, S6, 100. These index 
plates and gears provide for the indexing of all divisions up to 
382. 



48 



BROWN & SHARPE MFG. CO. 



In selecting the index circle to be vised, it is best to select one 
with a number having factors that are contained in the change 
gears on hand, for if H contains a factor not found in the gears, 
X cannot usually be obtained, unless the factor is cancelled 
by the difference between HV and N;z, or unless N contains 
the factor. 

Multiplying the numbers of holes in the plates by 40 gives all 
the values of HV that can be obtained with the regular index 
plates. Following is a table of these products, which will be 
found convenient to use, especially when many combinations are 
to be obtained. 



15 X 40 


600 


21 X 40 


840 


37 X 40 


1480 


16 X 40 


640 


23 X 40 


920 


39 X 40 


1560 


17 X 40 


680 


27 X 40 


1080 


41 X 40 


1640 


18 X 40 


720 


29 X 40 


1 1 60 


43 X 40 


1720 


19 X 40 


760 


31 X 40 


1240 


47 X 40 


1880 


20 X 40 


800 


?>?> X 40 


1320 


49 X 40 


i960 



When HV is greater than N;z and gearing is simple, use i 
idler. 

When HV is greater than N;z and gearing is compound, use 
no idlers. 

When HV is less than N« and gearing is simple, use 2 
idlers. 

When HV is less than N;? and gearing is compound, use 
I idler. 

Select " /« " so that the ratio of gearing will not exceed 6 : i 
on account of the excessive stress upon the gears. 



Example i . 

N = 59. Required H, n and x. 

Assume H = 33 n ^= 22 

Then X = (33 X 40) - (59 X 22) ^ ^ ^ £ 
33 33 3 

We now select gears giving this ratio, as 32 and 48, the 32 
being the gear on spindle and the 48 the gear on worm. HV is 
greater than N?z and the gearing is simple, requiring one idler. 



BROWN & SriARPE MFG. CO. 49 

Example 2. 

N = 3 19* Required IT, n and x. 

Assume H = 29 u = ^ 

Then X = (319 X 4) - (29 X40) _ 116 _ 4^ 
29 29 I 

When the ratio is not obtainable with simple gearing, try 

compound gearing. -■ can be expressed as follows : ' — 

^ ^ - I ^ 1X3 

73 X 64 

or -r, for which there are available gears. 

24 X 4S 

HV is less than N/z and the gearing is compound, requiring 
one idler. 



SPACING FOR QUARTER DEGREES. 

Example 3. 

Required H, n and x for spacing 1-4 degree or 1440 
divisions. 

Assume H = 33 ?^ = I 

Then (1440 X i) - (33 X 40) ^ ]^ ^^ 64 X 100 
33 33 40 X 44 

One idler is required. 



ALIQUANT OR FRACTIONAL SPACING. 

Example 4. 

Required : A Vernier to read to yx2 degree or 5 minutes, 
the scale being divided to degrees. 

Each Vernier space can equal i^io degree. 

11 I II 4330 . , , . , 

— X —^ = or -^ — spaces in whole cn-cle = 302 %i 

12 360 4320 II ^ ^^ 

spaces. 

Assume H = iS 71 = 2. 

ry.^ (393 %1 X 2) - (18 X40) _ !!:Mi _ 
iS lb 

720 I 40 64 X 100 

II I S II 40 X 44 

One idler is required. 



CHAPTER IX. 

THE GEARING OF LATHES FOR SCREW 
CUTTING. 



The problem of cutting a screw on a lathe resolves itself into 
connecting the lathe spindle with the lead screw by a train of 
gears in such a manner that the carriage (which is actuated by 




Sifnple Gearing. 

Fig. 19. 



BROWN & SIIARPE MFG. CO. 



51 



the lead screw) advances just one inch, or some definite dis- 
tance, while the lathe spindle makes a number of revolutions 
equal to the number of turns per inch or the definite distance to 
be cut. 

The lead screw has, with the exception of a very few cases, 
always a single thread, and to advance the carriage one inch it 
therefore makes a number of revolutions equal to its number 




Compound Geariiiff- 

Fig. 20. 



of threads per inch. Should the lead screw have double 
thread, it will, to accomplish the same result, make a number 
of revolutions equal to half its number of threads per inch. It 
follows that we must know in the first place the number of 
turns per inch of lead screw. 



52 



BROWN & SHARPE MFG. CO. 



It ought to be clearly understood that one or more inter- 
mediate gears, which simply transmit the motion received from 
one gear to another, in no wise alter the ultimate ratio of a 
train of gearing. An even number of intermediate gears 
simply change the direction of rotation, an odd number do not 
alter it. 

The gearing of a lathe to solve a problem in screw cutting 
can be accomplished by 

A. Simple gearing. 

B. Compound gearing. 

Referring to the diagrams, Figs. 19 and 20, we have in Fig. 
19 a case of simple, and in Fig. 20 a case of compound gear- 
ing. 

In simple gearing the motion from gear E is transmitted 
either directly to gear Ron lead screw or through the interme- 
diate F. In compound gearing the motion of E is transmitted 
through two gears (G and H) keyed together, revolving on the 
same stud n, by which we can change the velocity ratio of the 
mation while transmitting it from E to R. With these four 
variables E, G, H, R, we are enabled to have a wider range of 
changes than in simple gearing. 

B and C, being intermediate gears, are not to be considered. 
If, as is generally the case, gear A equals gear D, we disregard 
them both, simply remembering that gear E (being fast on 
same shaft with D) makes as many revolutions as the spindle. 
Sometimes gear D is twice as large as gear A, then, still con- 
sidering gear E as making as many revolutions as the spindle, 
w^e deal with the lead screw as having twice as many turns per 
inch as it measures. 



SIMPLE GEARING. 

Let there be : the number of teeth in the different gears 
expressed by their respective letters, as per Fig. 19, and 

j' = turns per inch to be cut, 
L = turns per inch of lead screw ; then 

I. _jL — Ji 



BROWN & SHARPE MFG. CO. 53 

If now one of the two gears K and R is selected, the other 
will be : 

L s 

2. The two gears may be found by making 

y ~-^ T y where/ may be any number. 

3. The above holds good when a fractional thread is to be 
cut, but if the fraction is expressed in large numbers, as, for 
instance,, .$• = 2.833 {2^^j^^),we first reduce this fraction (//(To) to 
lower approximate values by the process of continued fraction 
(see pages 43 and 44) . 



833) ICOO 


(I 




833 






167) 833 (4 






668 






165) 167 (i 






165 






2) 165 (82 






16 






S 






4 






1)2(2 






2 











I 


4 I 82 


2 


I 


4 5 414 


833 


I 


5 6 497 


1000 


5 _ 
6 


.833 (nearly) and s -■ 


= 25 
6 


If in this case L = 


= 4, and we select E 

R-'^ R-34 


= 48, then, since 



COMPOUND GEARING. 

4. In a lathe geared compound for cutting a screw the 
product of the drivers (E and H, Fig, 20) multiplied by the num- 
ber of turns per inch to be cut must equal the product of the 
driven (G and R) multiplied by the number of turns per inch of 
lead screw. This is expressed by 

EH.y=GRLor ^ ^ ^ = i 
Kj is. L, 



-^ BROWN & SHARPE MFG. CO. 

If three of the gears E, H, G, R have been selected, the 
fourth one would be either 



E — 


GRL 




H s 


H- 


GRL 




E s 


G = 


EHs 
RL 


R = 


E H .r 
GL 




RGL 



or 



or 



\L E H/ 



E H 

If a fractional thread is to be cut, as under "3," we reduce 
the fraction to lower approximate values. 

Example. — Gear for 5.2337 turns per inch, lead screw is 
6 turns per inch. 

.2327 = -^ 



1 0000 



2327) lOOCO (4 

9308 



692) 2327 (3 

2076 

251) 692 (2 
502 
190) 251 (I 

190 

"61) 190 (3 

183 

7) 61 (8 

5) 7 (I 
5_ 

2jS(2 

4 

1)2(2 



7 10 37 306 343 992 2327 



4 13 30 43 159 1315 1474 4263 loooo 

— • = .2327 (nearly) and 5.2327 = 5 — 
43 43 

Selecting E^43, H = 53, R= ^o, and 

n E H .y 43 X 52 X 5^%3 

G = „ T — we have G =: -^ ^ = 30 

R L 50 X 6 ^^ 



BROWN & SHARPS MFG. CO. 55 

5. The examples so far given all deal with single thread. 
The pitch of a screw is the distance from centre of one thread to 
the centre of the next. The lead of a screw is the advance for 
each complete revolution. In a single thread screw the pitch 
is equal to the lead, while in a double thread screw the pitch 
is equal to one-half the lead ; in a triple thread screw equal to 
one-third the lead, etc. 

If we have to gear a lathe for a many-threaded screw 
(double, triple, quadruple, etc.), we simply ascertain the lead, 
and deal with the lead as we would with the pitch in a single 
thread screw, /. «?., we divide one inch by it, to obtain the num- 
ber of threads for which we have to gear our lathe. 

Example. — Gear for double thread screws, lead = .4654. 
Number of turns per inch to be geared for is : 

T — r=-7 — =2.1487 

Lead .4654 
Lead screw is four turns per inch. 

As in previous examples, we reduce the fraction .1487=^*^^5- 
to lower approxi-mate values by the process of continued frac- 
tion. 

From the different values received in the usual way we 
select : 

11 = .1487 (nearly) and 2.1487 = 2^^ 

We have therefore : 

S= 2\i 

L=z4 

( E = 74 
Selecting -^ G = 30 

(h=4o 
E H 5 74 X 40 X 2II/74 
G L 30 X 4 

Note. — In using any but the original fraction we commit an error. This error 
can be found by reducing the approximate fraction used to a decimal fraction, and 
comparing it with the original fraction. In the above example the original fraction is 

.1487 and 
H = .14864 
Error = .00006 inch in lead. 

In cutting a multiple screw, after having cut one 
thread, the question arises how to move the thread tool the 
correct amount for cuttin"f the next thread. 



56 



BROWN & SHARPE MFG. CO. 



In cutting double, triple, etc., threads, if in simple or com- 
pound gearing the number of teeth in gear E is divisible by 
2, 3, etc., we so divide the teeth ; then leaving the carriage 
at rest we bring gear E out of mesh and move it forward one 
division, whereby the spindle will assume the correct position. 

When E is not divisible we find how many turns (V) of 
gear R are made to each full turn of the spindle. Dividing 
this number by 2 for double, by 3 for triple thread, etc., we 
advance R so many turns and fractions of a turn, being careful 
to leave the spindle at rest. 

For compound gearing : 

G R 

When the gear D is twice as large as the gear A (as ex- 
plained in fifth paragraph, page 52) , the formula would be 

3 G R 

If in simple gearing both E and R are not divisible, one 
remedy would be to gear the lathe compound ; or the face-plate 
may be accurately divided in two, three or more slots, and all 
that Is then necessary is to move the dog from one slot to another, 
the carriage remaining stationary. 



BROWN & SHARPE MFG. CO. 



SI 



COMPARATIVE SIZES OF GEAR TEETH. 



INVOLUTE. 



3 P 



4 P 



5 P 



6 P 



7P 



8P 




Fig. 21. 



Table of Tooth Parts. 



6o 



BROWN & SHARPE MFG. CO. 



TABLE OF TOOTH PARTS. 



CIRCULAR PITCH IN FIRST COLUMN. 



u 

pi o 

■6^ 


Threads or 

Teeth per inch 

Linear . 


1 «' 


Thickness of 

Tooth on 
Pitch Line. 


Is 

C3 


. &o o 


Depth of Space 

below 

Pitch Line. 


« 1 


Width of 

Thread-Tool 

at End. 


Width of 
Thread at Top. 


p' 


p' 


p 


t 


.S 


D" 


«+/ 


D"+/ 


P'X.31 


P'X.335 


2 


1 

2 


1.5708 


1.0000 


.6366 


1.27S2 


.7366 


1.3732 


.6200 


.6700 


If 


8 
15 


1.6755 


.9375 


.5968 


1.1937 


.6906 


1.2874 


.5813 


.6281 


H 


i 

7 


1.7952 


.8750 


.5570 


1.1141 


.6445 


1.2016 


.5425 


.5863 


li 


8 
13 . 


1.9333 


.8125 


.5173 


1.0345 


.5985 


1.1158 


.5038 


.5444 


li 


2 
3 


2.0944 


.7500 


.4775 


.9549 


.5525 


1.0299 


.4650 


.5025 


1^ 


16 
23 


2.1855 


.7187 


.4576 


.9151 


.5294 


.9870 


.4456 


.4816 


li 


8 
11 


2.2848 


.6875 


.4377 


.8754 


.5064 


.9441 


.4262 


.4606 


li 


3 
4 


2.3562 


.6666 


.4244 


.8488 


.4910 


.9154 


.4133 


.4466 


1^ 


16 
21 


2.3936 


.6562 


.4178 


.8356 


.4834 


.9012 


.4069 


.4397 


H 


i 
5 


2.5133 


.6250 


.3979 


.7958 


.4604 


.8583 


.3875 


.4188 


1^ 


16 


2.6456 


.5937 


.3780 


.7560 


.4374 


.8156 


.3681 


.3978 


li 


8 
9 


2.7925 


.5625 


.3581 


.7162 


.4143 


.7724 


.3488 


.3769 


1^ 


16 
17 


2.9568 


.5312 


.3382 


.6764 


.3913 


.7295 


.3294 


.3559 


1 


1 


3.1416 


.5000 


.3183 


.6366 


.3683 


.6866 


.3100 


.3350 


15 
IG 


1^ 


3.3510 


.4687 


.2984 


.5968 


.3453 


.6437 


.2906 


.3141 


7 
8 


li 


3.5904 


.4375 


.2785 


.5570 


.3223 


.6007 


.2713 


.2931 


13 


1^ 


3.8666 


.4062 


.2586 


^.5173 


.2993 


.5579 


.2519 


.2722 


5 


li 


3.9270 


.4000 


.2546 


.5092 


.2946 


.5492 


.2480 


.2680 


3 

i 


li 


4.1888 


.3750 


.2387 


.4775 


.2762 


.5150 


.2325 


.2513 


11 

16 


li 


4.5696 


.3437 


.2189 


.4377 


.2532 


.4720 


.2131 


.2303 


2 
3 


li 


4.7124 


.3333 


.2122 


.4244 


.2455 


.4577 


.2066 


.2233 


5 
8 


li 


5.0265 


.3125 


.1989 


.3979 


.2301 


.4291 


.1938 


.2094 


3 

5 


li 


5.2360 


.3000 


.1910 


.3820 


.2210 


.4120 


.1860 


.2010 


4, 
7 


li 


5.4978 


.2857 


.1819 


.3638 


.2105 


.3923 


.1771 


.1914 


9 
16 


li 


5.5851 


.2812 


.1790 


.3581 


.2071 


.3862 


.1744 


.1884 



BROWN & SHARPE MFG. CO, 



6l 



TABLE OF TOOTH 'PAB,TS.—Conti7iued. 



CIRCULAR PITCH IN FIRST COLUMN. 



1^ 


Threads or 

Teeth per inch 

Linear. 




Thickness of 

Tooth on 
Pitch Line. 




■+■> 
ft 

bD o 

-^-^ 

o 


Depth of Space 

below 

Pitch Line. 


ft ^ 


Width of 

Thread-Tool 

at End. 


ft 

fe 0) 


P' 


1" 
p' 


p 


t 


S '* 


D" 


s+/ 


D'4-/. 


PX.31 


PX.335 


1 

2 


2 


6.2832 


.2500 


.1592 


.3183 


.1842 


.3433 


.1550 


.1675 


i 
9 


H 


7.0685 


.2222 


.1415 


.2830 


.1637 


.3052 


.1378 


.1489 


7 
10 


2-1- 


7.1808 


.2187 


.1393 


.2785 


.1611 


.3003 


.1356 


.1466 


3 

7 


21- 


7.3304 


.2143 


.1364 


.2728 


.1578 


.2942 


.1328 


.1436 


2 


21- 


7.8540 


.2000 


.1273 


.2546 


.1473 


.2746 


.1240 


.1340 


3 
8 


2f 


8.3776 


.1875 


.1194 


.2387 


.1381 


.2575 


.1163 


.1256 


1 
U 


2f 


8.6394 


.1818 


.1158 


.2316 


.1340 


.2498 


.1127 


.1218 


1 
3 


3 


9.4248 


.1666 


.1061 


.2122 


.1228 


.2289 


.1033 


.1117 


5 
IC 


3i 


10.0531 


.1562 


.0995 


.1989 


.1151 


.2146 


.0969 


.1047 


3 
10 


3i 


10.4719 


.1500 


.0955 


.1910 


.1105 


.2060 


.0930 


.1005 


2 
7 


3i 


10.9956 


.1429 


.0909 


.1819 


.1052 


.1962 


.0886 


.0957 


1 
i 


4 


12.5664 


.1250 


.0796 


.1591 


.0921 


.1716 


.0775 


.0838 


Z 
9 


4i 


14.1372 


.1111 


.0707 


.1415 


.0818 


.1526 


.0689 


.0744 


1 
5 


5 


15.7080 


.1000 


.0637 


.1273 


.0737 


.1373 


.0620 


.0670 


3 
16 


51- 


16.7552 


.0937 


.0597 


.1194 


.0690 


.1287 


.0581 


.0628 


2 
11 


5f 


17.2788 


.0909 


.0579 


.1158 


.0670 


.1249 


.0564 


.0609 


1 
6 


6 


18.8496 


.0833 


.0531 


.1061 


.0614 


.1144 


.0517 


.0558 


2 
13 


6i 


20.4203 


.0769 


.0489 


.0978 


.0566 


.1055 


.0477 


.0515 


1 

7 


7 


21.9911 


.0714 


.0455 


.0910 


.0526 


.0981 


.0443 


.0479 


2 
15 


71 


23.5619 


.0666 


.0425 


.0850 


.0492 


.0917 


.0414 


.0446 


1 
8 


8 


25.1327 


.0625 


.0398 


.0796 


.0460 


.0858 


.0388 


.0419 


1 
9 


9 


28.2743 


.0555 


.0354 


.0707 


.0409 


.0763 


.0344 


.0372 


1 
10 


10 


31.4159 


.0500 


.0318 


.0637 


.0368 


.0687 


.0310 


.0335 


1 
10 


16 


50.2655 


.0312 


.0199 


.0398 


.0230 


.0429 


.0194 


.0209 


1 

20 


20 


62.8318 


,0250 


.0159 


.0318 


.0184 


.0343 


.0165 


.0167 



62 



BROWN & SHARPE MFG. CO. 



TABLE OF TOOTH PARTS. 



DIAMETRAL PITCH IN FIRST COLUMN. 



'3 

a. a 
5^ 




Thickness 
of Tooth on 
Pitch Line. 


Addendum 
and Module. 


boo 

.an 

r 


Depth of Space 

below 

Pitch Line. 


•^ o 


P 


P' 


t 


s 


D" 


s+f. 


D"+/. 


i 


6.2832 


3.1416 


2.0000 


4.0000 


2.3142 


4.3142 


3. 

4 


4.1888 


2.0944 


1.3333 


2.6666 


1.5428 


2.8761 


1 


3.1416 


1 . 5708 


1.0000 


2.0000 


1.1571 


2.1571 


li 


2.5133 


1.2566 


.8000 


1.6000 


.9257 


1.7257 


li 


2.0944 


1.0472 


.6666 


1.3333 


.7714 


1.4381 


If 


1.7952 


.8976 


.5714 


1.1429 


.6612 


1.2326 


2 


1.5708 


.7854 


.5000 


1.0000 


.5785 


1.0785 


2i 


1.3963 


.6981 


.4444 


.8888 


.5143 


.9587 


2i 


1.2566 


.6283 


.4000 


.8000 


.4628 


.8628 


2f 


1.1424 


.5712 


.3636 


.7273 


.4208 


.7844 


3 


1.0472 


.5236 


.3333 


.6666 


.3857 


.7190 


3^ 


.8976 


.4488 


.2857 


.5714 


.3306 


.6163 


4 


.7854 


.3927 


.2500 


.5000 


.2893 


.5393 


5 


.6283 


.3142 


.2000 


.4000 


.2314 


.4314 


6 


.5236 


.2618 


.1666 


.3333 


.1928 


.3595 


7 


.4488 


.2244 


.1429 


.2857 


.1653 


.3081 


8 


.3927 


.1963 


.1250 


.2500 


.1446 


.2696 


9 


.3491 


.1745 


.nil 


.2222 


.1286 


.2397 


10 


.3142 


.1571 


.1000 


.2000 


.1157 


.2157 


11 


.2856 


.1428 


.0909 


.1818 


.1052 


.1961 


12 


.2618 


.1309 


.0833 


.1666 


.0964 


.1798 


13 


.2417 


.1208 


.0769 


.1538 


.0890 


.1659 


14 


.2244 


.1122 


.0714 


.1429 


.0826 


.1541 



BROWN & SHARPE MFG. CO. 



63 



TABLE OF TOOTH P ABT S—Co?itinuecl 



DIAMETRAL PITCH IN FIRST COLUMN. 



"3 

ll 

Q 


OS ^ 


Tliiclvness 
of Tooth on 
Pitcli Line. 




ST ^ 





ft fV 

P. 


'^ 
r^ 


P. 


P'. 


t. 


s. 


D". 


s+f. 


.1438 


15 


.2094 


.1047 


.0666 


.1333 


.0771 


16 


.1963 


.0982 


.0625 


.1250 


.0723 


.1348 


17 


.1848 


.0924 


.05S8 


.1176 


.0681 


.1269 


18 


.1745 


.0873 


.0555 


.1111 


.0643 


.1198 


19 


.1653 


.0827 


.0526 


.1053 


.0609 


.1135 


20 


.1571 


.0785 


.0500 


.1000 


.0579 


.1079 


22 


.1428 


.0714 


.0455 


.0909 


.0526 


.0980 


24 


.1309 


.0654 


.0417 


.0833 


.0482 


.0898 


26 


.1208 


.0604 


.0385 


.0769 


.0445 


.0829 


28 


.1122 


.0561 


.0357 


.0714 


.0413 


.0770 


30 


.1047 


.0524 


.0333 


.0666 


.0386 


.0719 


32 


.0982 


.0491 


.0312 


.0625 


.0362 


.0674 


34 


.0924 


.0462 


.0294 


.0588 


.0340 


.0634 


36 


.0873 


.0436 


.0278 


.0555 


.0321 


.0599 


38 


.0827 


.0413 


.0263 


.0526 


.0304 


.0568 


40 


.0785 


.0393 


.0250 


.0500 


.0289 


.0539 


42 


.0748 


.0374 


.0238 


.0476 


.0275 


.0514 


44 


.0714 


.0357 


.0227 


.0455 


.0263 


.0490 


46 


.0683 


.0341 


.0217 


.0435 


.0252 


.0469 


48 


.0654 


.0327 


.0208 


.0417 


.0241 


.0449 


50 


.0628 


.0314 


.0200 


.0400 


.0231 


.0431 


56 


.0561 


.0280 


.0178 


.0357 


.0207 


.0385 


60 


.0524 


.0262 


.0166 


.0333 


.0193 


. 0360 



Tables Giving Chordal Thickness of 

Gear Teeth and 
Distance from Chord to Top of Tooth. 



66 



BROWN & SHARPE MFG. CO. 



Tables Giving Chotdal Thickness of Geaf Teeth {t") and 
Distance from Chord to Top of Tooth (/')♦ 

The tables give the chordal thickness of teeth and the distance 
from the chord to the top of the tooth for gears of i diametral 
pitch and i" circular pitch respectively. 

To obtain f and /' for any diametral pitch, divide the figures 
given in the table for i diametral pitch by the required diametral 
pitch. 

Example — Find /' and /' for a gear 5 diametral pitch, 23 
teeth. 

1.5696 ^ 5 = .3139 = /' 
1.0268 -=- 5 = .2054 = /' 



I DIAMETRAL PITCH 


No. of 
Teeth. 


No. of 
Cutter. 


/' 


/' 


8 




1.5607 


1.0768 


9 




1.5628 


1.0684 


10 




1-5643 


1. 0616 


1 1 




1-5654 


1-0559 


12 


8 


^'S^^2> 


1.05 14 


13 


7i 


1.5670 


1.0474 


14 


7 


1-5675- 


1.0440 


15 


64 


1-5679 


1. 04 1 1 


17 


6 


1.5686 


1.0362 


19 


5i 


1.5690 


1.0324 


21 


5 


1.5694 


1.0294 


23 


4i 


1.5696 


1.0268 


26 


4 


1.5698 


1.0237 


30 


.si 


1.5701 


1.0208 


35 


?, 


1.5702 


1. 0176 


.42 


4 


1-5704 


1. 0147 


55 


2 


1.5706 


1.0112 


80 


li 


1-5707 


1.0077 


135 


I 


1.5708 


1.0046 



BROWN & SHARPE MFG. CO. 



67 



To obtain t" and /' for any circular pitch, miiltiph' the 
figures given in the table for \" ciixular pitch l^y the required 
circular pitch. 

Example — Find /" and /' for a %" circular pitch gear with 
15 teeth. 

.4991 X % = .3743 = i" 
•3314 X % = .24S6 = /' 



I CIRCULAR PITCH 


No of 
Teeth. 


No. of 
Cutter. 


/" 


/' 


8 






4968 




3428 


9 






4975 




3401 


10 






4979 




3379 


I I 






4983 




3361 


1 2 


8 




4986 




3347 


13 


7i 




4988 




3334 


H 


7 




4990 




ZZ^Z 


15 


6i 




4991 




3314 


17 


6 




4993 




3298 


19 


5i 




4995 




3286 


2 1 


5 




4996 




3277 


23 


\\ 




4997 




3268 


26 


4 




4997 




3258 


30 


32 




4998 




3249 


35 


3 




4998 




3239 


42 


2i 




4999 




3230 


55 


2 




5000 




3219 


80 


li 




5000 




3208 


135 


I 




5000 




3198 



These ta.bles are intended to be used for spur gears only. 
They can, however, be used for bevel gears by selecting /' 
according to the number of teeth in the bevel gear and selecting 
s" according to the number of teeth in a spur gear having a 
radius corresponding to the back cone radius of the bevel gear. 



Table Giving Diameter Increments. 

To use the following table for finding the outside diameters 
of Bevel Gears with axes at right angles, divide the figures given 
opposite the required numbers of teeth by the diametral pitch 
(P) and add to the pitch diameter, using the upper figure in the 
space for the gear and the lower for the pinion. 

Example. — Required, the outside diameters of a pair of 
bevel gears, lo P, 35 T into 23 T. Referring to the table, the 
diameter increments are found to be for the gear i .10 and for the 
pinion i .67. 

1 .10 -=- 10 = .1 10 ; 3.C; pitch diameter -j- ,110=: 3'6io out- 
side diameter of gear. 

1.67 -4- 10 =^ .167 ;- 2.3 pitch diameter -[- .167 == 2.467 out- 
side diameter of pinion. 



70 



BROWN & SHARPE MFG. CO. 



DIAMETER INCREMENT. 

GEAR 





72 


71 


70 


69 


68 


67 


66 


65 


64 


63 


62 


61 


60 


59 


58 


57 


12 


•33 
1-97 


•33 
1-97 


•34 
1.97 


•34 
1.97 


•35 
1.97 


■35 
1.97 


•36 

1.97 


■36 

1.97 


•37 
1.97 


•37 
1.96 


■38 
1.0 


•39 
1.96 


■39 
1.96 


.40 
1.96 


.41 
1.96 


•41 
1.96 


13 


.36 
1.97 


.36 

1-97 


•37 
1.97 


■37 
1.97 


•38 
1.96 


•38 
1.96 


•39 
1.96 


•39 
1.96 


.40 
1.96 


.40 
1.96 


.41 
1.96 


•42 
7.96 


.42 
1-95 


•43 
1-95 


•44 
1-95 


■44 
1-95 


14 


•38 
1.96 


■39 
1.96 


■39 

1.96 


.40 
1.96 


.40 
1.96 


•41 
1.96 


■42 
1.96 


.42 
1.96 


•43 
1-95 


■43 
^■95 


■44 
1-95 


•45 
1-95 


■45 
1^95 


.46 
1-95 


■47 
1.94 


■48 
1.94 


15 


.41 
1.96 


■ 41 
1.96 


.42 
1.96 


.42 
1^95 


■43 
1^95 


•44 
1-95 


■44 
1-95 


•45 
1-95 


.46 
1-95 


.46 
1-95 


•47 
1.94 


.48 
1.94 


.48 
1.94 


■49 
1.94 


•50 
r.94 


■51 
1.94 


16 


■43 
1-95 


■44 
'■95 


•45 
1^95 


■45 
1^95 


.46 
1-95 


■46 
1-95 


■47 
1.94 


.48 
1.94 


•48 
1.94 


•49 
1.94 


•50 
1.94 


■51 
1^93 


•52 
1^93 


■52 
193 


•53 
^■93 


■54 
i^93 


17 


r.46 
1-95 


•47 
195 


■47 
1.94 


.48 
1.94 


.48 
1.94 


•49 
1.94 


■50 
1.94 


■51 
1^93 


•51 
1^93 


•52 
i^93 


•53 
1-93 


•54 
193 


■55 
1.92 


•55 
1.92 


•5b 
1.92 


•57 
1.92 


18 


.48 
1.94 


.49 
1.94 


■50 
1.94 


•50 
1.94 


•51 
1^93 


•52 
^•93 


•53 
1-93 


•53 
^•93 


•54 
i^93 


•55 
1.92 


•56 
1.92 


•57 
1.92 


•57 
1.92 


•58 
1.91 


•59 
1.91 


.60 
1.91 


19 


•51 

1-93 


•52 
i^93 


•52 
1-93 


•53 
i^93 


•54 
i^93 


■55 
1.92 


■55 
1.92 


•56 
1.92 


•57 
1.92 


•58 
1.91 


•59 
1. 91 


■59 
1. 91 


.60 
1.91 


.61 
1.90 


.62 
1.90 


.63 
1.90 


20 


•54 
1-93 


•54 
i-93 


•55 
1.92 


•56 
1.92 


•56 
1.92 


.57 
1.92 


•58 
1.91 


.59 
1.91 


.60 
1.91 


.61 
1.91 


.61 
1.90 


.62 
1.90 


•63 
1.90 


•64 
1.89 


•65 

1.89 


.66 
1.89 


21 


•56 

1.92 


•57 
1.92 


•57 
1.92 


•58 
1.91 


•59 
1.91 


.60 

1. 91 


.61 
1.91 


.61 
1.90 


.62 
1.90 


.63 

1.90 


.64 

1.89 


•65 

1.89 


.66 
1.89 


.67 

1.88 


.68 
1.88 


.70 

1.87 


22 


•58 
1.91 


•59 
1.91 


.60 
1.91 


.61 
1.91 


.62 
1.90 


.62 
1.90 


•63 
1.90 


•64 
1.89 


•65 

1.89 


.66 
1.89 


.67 

1.88 


.68 
1.88 


.69 

1.88 


.70 

1.87 


• 71 
1.87 


.72 

1.87 


23 


.51 
1. 91 


.62 
1.90 


.62 
1.90 


•63 
1.90 


.54 
1.89 


•65 

1.89 


.66 
1.89 


.67 

1.89 


.68 
1.88 


.69 
1.88 


.70 
1.88 


•71 

1.87 


• 72 
1.87 


•73 
1.86 


•74 
1.86 


•75 
1.85 


24 


.63 

1.90 


.64 
1.89 


.65 

1.89 


.66 
1.89 


.67 
1.89 


.67 

1.88 


.68 

1.88 


.69 
J. 88 


.70 
1.87 


■71 
1.87 


■ 72 
1.87 


.73 
1.86 


•74 
1.86 


.75 
1.85 


.76 
1.85 


• 78 
1.84 


25 


.66 
1.89 


.67 

1.88 


.67 

1.88 


.68 
1.88 


.69 

1.8S 


.70 
1.87 


.71 
1.87 


.72 

1.87 


•73 
1.86 


.74 
1.86 


.75 
1.86 


.76 

1.85 


.77 
1.85 


•78 
1.84 


.79 
1.84 


.80 
1.83 


26 


.68 
1.S8 


.69 
1.88 


.70 

1.87 


.71 

1.87 


•71 

1.87 


•72 
1.86 


.73 
1.86 


•74 
1.86 


.75 
1.85 


.76 
1.85 


• 77 
1.84 


.78 
1.84 


.80 
1.84 


.81 
1.83 


.82 
1.82 


.83 
1.82 


27 


.70 

1.87 


•71 
1.87 


.72 

1.87 


•73 

1.86 


•74 
1.86 


.75 
1.86 


.76 
1.85 


.77 
1.85 


.78 
1.84 


.79 
1.84 


.80 
1.83 


.81 
1.83 


.82 
182 


.83 
1.S2 


.84 
1.81 


,86 
1.81 


28 


.72 
1.86 


.73 
1.86 


.74 
1.86 


.75 
1.85 


.76 
1.85 


.77 
1.85 


.78 
1.84 


.79 
1.84 


.80 
1.83 


.81 
1.83 


.82 
1.82 


.83 
1.82 


.85 
1.81 


.86 
1.81 


.87 
1.80 


.88 
1.80 


29 


.75 
1.86 


.76 
1.85 


•77 
1.85 


.78 
1.84 


•78 
1.84 


•79 
1.84 


.80 
1.83 


.82 
1.83 


.83 
1.82 


.84 
1.82 


.85 
1.81 


.86 
1.81 


.87 
1.80 


.88 
1.80 


•89 
1.79 


•91 

1.78 


30 


•77 
1.85 


• 78 
1.84 


.79 
1.84 


.80 
1.83 


.81 
1.83 


.82 
1.83 


•83 
1.82 


.84 
1.82 


.85 
1.81 


.86 
1.81 


.87 
1.80 


.88 
1.79 


.89 
1.79 


.91 
1.78 


•92 

1.78 


•93 

1.77 


31 


•79 
1.84 


.80 
1.83 


.81 
1.83 


.82 
1.82 


•83 
1.82 


.84 
1.82 


•85 
1.81 


.86 
1.81 


.87 
1.80 


.88 
X.79 


.89 
1-79 


■91 

1.78 


•92 

1.78 


•93 

1-77 


•94 
1.76 


■96 
1.76 


32 


.81 
1.83 


.82 
1.82 


■83 
1.82 


.84 
1.81 


■85 
1.81 


.86 
1.80 


.87 
1.80 


.88 
1.79 


.89 
1^79 


•91 
1.78 


•92 
1.78 


•93 
1^77 


•94 
1.76 


•95 
1.76 


•97 
1.75 


•98 
1.74 


33 


•83 
1.82 


.84 
1.81 


•85 
1.81 


.86 
1.80 


.87 
1.80 


.88 
1.79 


.89 
^■79 


.91 
1.78 


.92 
1.78 


■93 
1^77 


■94 
1.77 


■95 
1.76 


.96 
1-75 


•98 
1.75 


•99 
1.74 


1. 00 
1-73 


34 


•«5 
1.81 


.86 
1.80 


.87 
1.80 


.88 
1.79 


.89 
i^79 


■91 
X.78 


.92 
1.78 


•93 
1^77 


•94 
1.77 


•95 
1.76 


.96 

1-75 


•97 
1-75 


■99 
1.74 


1. 00 
1^73 


I.OI 

i^73 


1.02 
1.72 


35 


.87 
1.80 


.88 
1.79 


•89 
1.79 


.90 
1.78 


•92 

1.78 


•93 
1.77 


■94 
1-77 


•95 
1.76 


.96 
1.75 


•97 
1-75 


•98 
1.74 


1. 00 
1-73 


I.OI 

1.73 


1.02 
1.72 


1.03 
1. 71 


1.05 
1.70 


36 


.89 
1-79 


.90 

1.78 


.91 

1.78 


•93 
1^77 


•94 
1.77 


•95 
1.76 


.96 
1.76 


■97 
1^75 


•98 
1.74 


•99 
1-74 


1. 00 
1.73 


1.02 

1.72 


1.03 
1. 71 


1.04 
1.71 


1.05 
1.70 


1.07 
1.69 


37 


•91 
1.78 


•92 
1.77 


•93 

1-77 


•95 
1.76 


.9b 
1.76 


•97 
1^75 


.98 
1.74 


•99 
1.74 


1. 00 
1.73 


I.OI 

1.72 


1.03 
1.72 


1.04 

I.7I 


1.05 
1.70 


1.06 
1.69 


1.08 
1.69 


1.09 
1.68 


38 


•93 
1.77 


•94 
1.76 


•95 
1.76 


•97 
1^75 


•98 
1.75 


•99 
1^74 


1. 00 
1-73 


I.OI 

^•73 


1.02 
1.72 


1.03 
1. 71 


1.05 

1.71 


1.06 

1.70 


1.07 
1.69 


1.08 
1.68 


1. 10 
1.67 


I. II 

1.66 


39 


•95 
1.76 


.96 
1^75 


■97 
1^75 


•98 
1^74 


•99 
1.73 


I.OI 

I.75 


1.02 
1.72 


1.03 
1.71 


1.04 
1.71 


1-05 

1.70 


1.06 
1.69 


X.08 

1.68 


1.09 
1.68 


1. 10 

1.67 


1. 12 
1.66 


I.I3 
i^65 


40 


•97 
1-75 


■97 
1^75 


■99 
1^74 


1. 00 
1.73 


I.OI 

1.72 


1.03 
1.72 


1.04 
1.71 


1.05 
1.70 


1.06 
1.70 


1.07 
1.69 


1.08 
1.68 


1. 10 
1.67 


I. II 
1.66 


1. 12 
1.66 


1. 14 
1.65 


i^i5 
1.64 


41 


•99 
1.74 


1. 00 
i^73 


I.OI 

1.73 


1.02 
1.72 


1.03 
1.71 


1.04 
1.71 


1.06 
1.70 


1.07 
1.69 


1.08 
1.68 


1.09 
1.68 


1. 10 
1.67 


1. 12 
1.66 


I.I3 
1.6"^ 


1. 14 
1.64 


I.I5 
^•63 


1. 17 
1.62 


42 


I.OI 

1^73 


1,02 
1.72 


1^03 

1.72 


1.04 
1.71 


1-05 
1.70 


1.06 
1.60 


1.07 
1.60 


1.09 
1.68 


1. 10 
1.67 


I. II 
1.66 


1. 12 
1.66 


I.I3 
r.65 


^•i5 
1.6. 


1.16 


1. 17 
1.62 


1. 19 
1. 61 



For bevel gears with axes at right angles only. 



BROWN & SHARPE MFG. CO. 



71 



DIAMETER INCREMENT — (Continued.) 



GEAR 





56 


55 


54 


53 


52 


51 


50 


49 


48 


47 


46 


45 


44 


43 


42 


12 


.42 
1.96 


•43 

1-95 


•43 
1-95 


■44 
1-95 


■45 
1-95 


.46 
^■95 


■47 
1.94 


•48 
1.94 


.48 
1.94 


•49 
1.94 


■50 
1.94 


■52 
^■93 


■53 
I 93 


■54 
1-93 


•55 
1.92 


13 


•45 
1-95 


.46 
1-95 


•47 
1.94 


.48 
1.94 


•48 
1.94 


•49 
1.94 


■50 
1.94 


•51 
1^93 


■52 

i^93 


1-93 


■54 
1.92 


■56 

1.92 


■57 
1.92 


■58 
1.91 


•59 
1.91 


14 


.48 
1-94 


■49 
1.94 


•50 

1.94 


■51 

1-93 


•52 
1^93 


■53 
1-93 


■54 
'■93 


•55 
1,92 


•56 
1.92 


57 
1.92 


■58 
1.91 


■59 
1.91 


.61 
1.91 


.b2 
1.90 


■63 

I 90 


15 


•52 

1-93 


•53 
1-93 


■54 

1-93 


•54 
1.92 


■55 
1.92 


•56 
1.92 


•57 
1.92 


•59 
1.91 


.60 
1.91 


.01 

1.91 


.62 
1.90 


•63 
1.90 


.05 
1.89 


.66 
1.89 


.67 

1.88 


16 


•55 
1.92 


.56 
1.92 


■57 
1.92 


• 58 
1.91 


•59 
1.91 


.60 
1.91 


.61 
1.90 


.62 
1.90 


•63 
1.90 


•64 
X.89 


.66 
1.89 


.67 
1.88 


.68 
1.88 


.70 

1.87 


.71 
1.87 


17 


.5« 
1.91 


•59 
1.91 


.60 
1.91 


.61 
1.90 


.62 
1.90 


•63 
1.90 


•64 
1.89 


.66 
1.S9 


•67 
1. 89 


.68 
1.8S 


.69 

1.88 


•71 

1.87 


•72 

1.87 


•74 
1.86 


•75 
1.85 


18 


.61 
1.90 


.62 
1.90 


•63 
1.90 


.64 
1.89 


•65 
1.S9 


.67 
1.89 


.68 
1.88 


.69 

1.88 


.70 

1.87 


• 72 

1.87 


•73 

T.86 


•74 
1.86 


.76 
185 


■77 

1. 84 


•79 
1.84 


19 


.64 
1.89 


.65 
1.89 


.66 
1.89 


.67 

1.88 


•69 

1.88 


.70 

1.87 


• 71 

1.87 


• 72 
1.86 


• 74 
1.86 


■75 
1.S5 


• 76 

1.S5 


• 78 
1.84 


•79 
1.84 


.81 
1^83 


.82 
1.82 


20 


•67 
1. 88 


.68 
1.88 


.69 
1. 88 


• 71 

1.87 


.72 

1.87 


.73 
1.86 


• 74 
1.86 


• 76 
1.85 


•77 
i^85 


.78 
1.84 


.80 
1-83 


.81 
1.83 


•83 
1.82 


.84 
1. 81 


.86 
1.81 


21 


.70 
1.87 


• 71 

1.87 


• 72 
1.86 


•74 
1.86 


.75 

1.85 


• 76 
r^85 


.77 
1.84 


■79 

1.84 


.80 
1.83 


.82 

1.83 


.83 
1.82 


.85 
i.Si 


.86 
1.80 


.88 
1.80 


.89 
1.79 


22 


•73 
1.86 


.74 
1.86 


•75 

1.85 


.77 
1.S5 


.78 
1.84 


•79 
1.84 


.81 
1.83 


.82 
1.82 


.83 
1.82 


.85 
l.Sl 


.86 
1.80 


.88 
1.80 


.89 
1.79 


•91 

1.78 


•93 
1-77 


23 


• 76 
i^85 


•77 
1.85 


.78 
1.84 


.80 
1.83 


.81 
1.83 


.S2 
1.82 


•84 
1.S2 


.85 
1.81 


.86 
1.80 


.88 
1.80 


.8q 
1.79 


•91 

1^78 


•93 
1-77 


•94 
1.76 


.96 
1.75 


24 


.79 
1.84 


.So 
1.83 


.81 
1.83 


.83 
1.82 


.84 
1.82 


.85 
I.8I 


•87 
1.80 


.88 
1.80 


.89 
1.79 


.91 
1.78 


•93 
1^77 


•94 
1.76 


.96 
1.76 


•97 
i^75 


•99 
1.74 


25 


.82 
1.83 


•83 
1.82 


.84 
1. 81 


.85 
1.81 


.87 
1.80 


.88 
1.80 


.89 
1.79 


•91 
1.78 


.92 
1.77 


•94 
1^77 


■95 
1.76 


.97 
1.75 


■99 
^•74 


I.OI 

1.73 


1.02 
1.72 


26 


.«4 
1.81 


.85 
1.81 


.87 
1.80 


.88 
I. So 


•89 
1.79 


•91 
i^78 


•92 
1.77 


•94 
1^77 


.95 
1.75 


•97 
1^75 


.98 
1^74 


1. 00 

1^73 


1.02 
1.72 


1.04 
1. 71 


1-05 
1.70 


27 


.87 
1.80 


.88 
1.80 


.89 
1.79 


■91 
1.7S 


.92 

i^78 


•94 
1.77 


.95 
1.76 


.97 
1^75 


.98 
1^74 


1. 00 

1^73 


I.OI 

1.72 


1.03 
1.71 


1.05 
1.70 


1.06 
1.69 


1.08 
1.68 


28 


.89 
1.79 


•91 

1.78 


.92 

T.7S 


93 

1^77 


•95 
1.76 


•9& 
1.75 


.98 
1-75 


•99 
1^74 


I.OI 

1.73 


1.02 
1.72 


1.04 

1. 71 


1.06 
1.70 


1.07 
1.69 


1.09 

1.68 


1. 11 

1.60 


29 


•92 

1.78 


•93 

1.77 


•95 
1.76 


•96 
1^75 


•97 
i^75 


•99 
1.74 


1. 00 
1.73 


1.02 
1.72 


1.03 
I.7I 


£•05 
1.70 


1.07 
1.69 


1.08 
1.68 


1. 10 
i^67 


1.12 

1.66 


1.14 
1.65 


30 


•94 
1.76 


.96 
1.76 


.98 
1^74 


•99 
1^74 


1. 00 
1^73 


I.OI 

1.72 


1.03 
1. 71 


1.04 
1. 71 


1.06 
1.70 


l.oS 
1.69 


1.09 
1.68 


I. II 
1.66 


1.65 


1.14 
1.64 


1.16 
1.63 


31 


.97 
1.75 


•98 
1-74 


1. 00 
^•73 


I.OI 

1^73 


1.02 
1.72 


1.04 
1.71 


1^05 
1.70 


1.07 
1.69 


1.09 
1.68 


1. 10 
1.67 


1. 12 
1.66 


i^i3 
i^65 


1.^5 

I •as 


1.17 
1.62 


1. 19 
1.61 


32 


•99 
1-74 


l.OI 

1-73 


1.02 
1.72 


1.03 
1. 71 


1.04 
1. 71 


1.06 
i.6g 


1. 08 
1.68 


1.09 
1.67 


1.11 
1.66 


^■I3 
1.65 


1.14 
1.64 


1. 16 
1.63 


1.13 
1.62 


1.19 
1.60 


1.21 
^■59 


33 


1.02 
1.72 


1.03 
1.71 


1.04 
1.71 


1.06 
1.70 


1.08 
1.69 


1.09 
1.68 


1. 10 
1.67 


1. 12 

1.66 


1 13 
1.65 


I-I5 
1.64 


1. 17 
1.63 


I. IS 
1.61 


1.20 
1.60 


1.22 

1-59 


1.24 
^■57 


34 


1.04 
1. 71 


1.05 
1.70 


1.07 
1.69 


1.08 
1.68 


1.09 
1.67 


I. II 
1.66 


1. 12 
1.65 


1. 14 
1.64 


1. 16 
1.63 


1.17 
1.62 


1.19 
1.61 


1.21 

1-59 


1.22 

1.58 


1.24 
1-57 


1.26 
I 55 


35 


1.06 
1.70 


1.07 
1.69 


1.09 
1.68 


1. 10 

1.67 


1.12 

1.66 


1. 13 
1.65 


1-15 
1.64 


1. 17 

163 


1.18 
1.62 


1.19 
1.60 


1. 21 

1-59 


1.23 

1.58 


1.25 

1-57 


1.26 
1-55 


1.38 
1-54 


36 


I. OS 

1.68 


1. 10 
1.67 


I. II 

1.66 


1. 12 

1.65 


1.14 
1.64 


I-I5 
1.63 


1.17 
1.62 


I. IS 

1. 61 


1.19 
1.60 


1. 21 

1-59 


1^23 

1-57 


1^25 

1.56 


1.27 
1-55 


1.28 
1^53 


1.30 

1-52 


37 


1. 10 
1.67 


1. 12 
1.66 


i^i3 
1-65 


1. 14 
1.64 


1. 16 
1.63 


1. 17 
1.62 


1. 19 
1.61 


1. 21 
1.60 


1.22 

1.58 


1.24 
1-57 


1^25 

1.56 


1.27 
1-55 


1.29 
1^53 


1.30 

1^52 


1.32 
1-50 


38 


1. 12 

1.66 


1. 11 
1.65 


115 
1.64 


I.16 
1.63 


1. 18 
1.61 


1.20 
1.60 


1. 21 
1-59 


1-23 

1^58 


1.24 
1-57 


1.26 

1.56 


1.27 

1^54 


1.29 
1^53 


i^3i 
I-5I 


1^32 
1.50 


1-34 
1.48 


39 


1. 14 
1.64 


1.16 
163 


1. 17 
1.62 


1. 19 
1. 61 


1.20 
1.60 


1. 21 

1-59 


^■23 

I.,S8 


1-25 
1.56 


•1.26 
1^55 


I 2S 

1-54 


1.29 
1-53 


1-31 
I-5I 


i^33 
1.50 


1^34 
1.48 


1.36 
1.47 


40 


1. 16 
1.63 


1. 18 
1.62 


1.19 
1. 61 


1.20 
1.60 


1.22 
1^59 


1-23 
i^57 


1^25 

i^56 


1.26 
1-55 


I.2S 

1^54 


1.30 

1^52 


i^3i 
I-5I 


^■33 

1.49 


1^35 
1.48 


1.36 

1.46 


1.38 
145 


41 


l.lS 
1.61 


1.20 
1.60 


1.21 
1^59 


1.22 
1.58 


1.24 
1^57 


^■25 

I.,S6 


1.27 
1^55 


1.28 
1^53 


1.30 

1-52 


i^3i 
I 51 


1-33 
1.49 


^■35 
1. 48 


1.36 
1.46 


1.38 
1-45 


1.40 
^•43 


42 


1.20 
1.60 


1. 21 
1-59 


1-23 


1.24 
1^57 


1.26 
1.56 


1.27 
1^54 


1.29 
1-53 


1.30 

^52 


1-32 

I-5I 


1^33 
1.49 


1^35 

1.48 


.1.36 
1.46 


1-38 
1.45 


1.40 
1-43 


1.41 
1.41 



For bevel gears with axes at right angles only. 



72 



BROWN & SHARPE MFG. CO. 



DIAMETER 



INCREMENT. 

GEAR 



-( Co7itinued.^ 





41 


40 


39 


38 


37 


36 


35 


34 


33 


32 


31 


30 


29 


28 


27 


12 


•56 
1.92 


.58 
1.92 


•59 
1.91 


.61 
1. 91 


•63 
1.90 


•63 
1.90 


•65 
1.89 


.67 
1.88 


.68 
1.88 


.70 
1.87 


•72 
1.87 


• 74 
1.85 


.76 
1.85 


•79 
1.84 


.81 
1.83 


13 


.60 
1.91 


.61 
1.90 


.63 
1.90 


•65 
1.89 


.66 
1.S9 


.68 
1.88 


.70 
1.87 


•7i 
1.87 


.73 
1. 86 


• 75 
1.85 


.77 
1.84 


.So 
1.83 


.82 

1.82 


.84 
181 


.87 
1.80 


14 


.65 
1.89 


.66 
1.89 


•67 

1.88 


•69 
1.88 


.71 
1.87 


• 72 
1.86 


• 74 
1.86 


.76 
1.85 


• 78 
1.84 


.80 
1.83 


.82 
1.82 


.85 
1.81 


.87 
1.80 


.89 
1-79 


.92 

1.78 


15 


.69 

1.88 


.70 
1.87 


•72 
1.87 


•74 
1.86 


• 75 
i^8,5 


.77 
1.85 


.79 
1.84 


.81 
1.83 


•83 
1.82 


.85 
1. 81 


.87 
1.80 


•89 
1.79 


•92 
I.7S 


•94 
1.76 


•97 
. 1-75 


16 


•73 
1. 86 


•74 
1.86 


.76 
1.85 


.77 

1.8.5 


.79 

1.84 


.81 

1^83 


•83 
1.82 


.85 
1.81 


.88 
1.80 


•89 
1.79 


•91 
1.77 


•94 
1^75 


•97 
1^75 


•99 
1-74 


1.02 
1.72 


17 


•77 
1.S5 


.78 
1.84 


•79 
1.83 


.81 
1.83 


•83 
1.82 


.86 
1.81 


.88 
1.80 


.89 
1.79 


•91 
1^77 


•94 
1.76 


.96 
1.75 


•99 
1^74 


I.OI 

1-73 


1.04 
1.71 


1.07 
1.69 


18 


.80 
1.8^ 


.82 
i.82 


.84 
1.81 


.86- 
1.81 


.88 
1.80 


.89 
1.79 


.91 

1:78 


•93 
1.77 


•94 
1.76 


.98 

1.74 


I.OI 

1.73 


1^03 
1.72 


1.06 
1.70 


1.08 
1.68 


I. II 
1.66 


19 


.84 
1. 81 


.86 
1.81 


.88 
1.80 


.89 
1.79 


•91 
1.78 


•93 

1.77 


•95 
I.7& 


•97 
1-75 


.99 
1.73 


1.02 
1.72 


1.04 
1.70 


1.07 
1.69 


1. 10 

1.67 


1. 12 
1.66 


1-15 

1.64 


20 


.88 
1.80 


.89 
1^79 


•91 

1.78 


•93 
1^77 


.95 
1.76 


•97 
1^75 


•99 
1^74 


I.OI 

1.72 


1.04 
1.71 


1.06 
1.70 


i.o8 
1.68 


I. II 

1.66 


1. 14 
1.64 


1. 16 
1.63 


1.19 
1.61 


21 


•91 
1.78 


■93 
1.77 


•94 
1.76 


•97 
1.75 


•99 
1.74 


I.OI 

1.73 


1.03 
1.72 


1.05 
1.70 


1.07 
1.69 


1. 10 
1.67 


1. 12 

1.65 


1. 14 
1.64 


1.17 
1.62 


1.20 
1.60 


1.23 
1.58 


22 


•95 
1.76 


.96 
1-75 


.98 
1.74 


1. 00 
1.73 


1.02 
1.72 


1.04 
1. 71 


1.06 
T.69 


1.09 
1.68 


I. II 

1.66 


I.I3 
1.65 


1.16 
1.63 


1.18 
1.61 


1. 21 
1.59 


1.24 
1-57 


1-26 
i^55 


23 


.98 
1.74 


1. 00 
1-73 


I.OI 

1.72 


1.04 
1.71 


1.06 
1.70 


1.08 
1.68 


1. 10 
1.67 


1. 12 
1.66 


I.I4 
1.64 


1.17 
1.62 


1.19 
1.61 


1. 21 
1.59 


1.24 
1.57 


1.27 
1-55 


1.30 

1-52 


24 


1. 01 
1.72 


1.03 
1.71 


1.05 
1.70 


1.07 
1.69 


i.oS 
1.68 


I. II 
1.66 


i^i3 
1.65 


1-15 
1.63 


1. 17 
1.62 


1.20 
1.60 


1^23 

1.58 


1^25 
i^56 


1.28 
1.54 


1.30 

1^52 


1^33 
1.49 


25 


1.04 
1.71 


1.06 
1.70 


1.08 
1. 68 


1. 10 

1.67 


1. 12 
1.65 


1.14 
1.64 


1.16 • 
1.63 


1. 18 
1.61 


1.20 
1.59 


1.23 
I •.58 


1.26 
1.56 


1.28 
1.54 


1.31 
152 


1-33 
1.49 


1.36 

1.47 


26 


1.07 
1.69 


1.09 
1.68 


I. II 
1.66 


I.I3 
T.65 


I.I5 
1.64 


1.17 
1.62 


1. 19 
1.61 


1. 21 
1.59 


1.24 
1^57 


1.26 

1^55 


1.28 

1^53 


1^31 
1.51 


1.34 
1^49 


1.36 
1.47 


X.39 
1.44 


27 


1. 10 

1.67 


1. 12 
1.66 


1. 14 
1.64 


1.15 
1^63 


1. 18 
1.62 


1.20 
1.60 


1.22 

1.58 


1.24 
1-57 


1.27 
1.54 


1.29 
1.53 


1^31 
i^5i 


1^34 
1.49 


1.36 
1.46 


r^39 

1.44 


1. 41 
1.41 


28 


i^i3 
1.65 


1. 14 
1.64 


1. 16 
1.62 


i^i9 
1.61 


1.21 
1^59 


1.23 
1^58 


1.25 
^•56 


1.27 
1-54 


1.29 

1.53 


1.32 
i^5i 


1^34 
1.48 


1.36 
1.46 


1-39 

1.44 


1.41 
1. 41 




29 


i^i5 
1.63 


1.17 
1.62 


1.19 
1.60 


1. 21 

1.59 


1^23 

1^57 


1.26 
1.56 


1. 28 

1.54 


1.30 

1-52 


^•32 

1^50 


1^34 
1.48 


^•37 

1.46 


1.39 

"1 .44 


1.41 
1. 41 






30 


1. 18 
1.61 


1.20 
1.60 


1.22 
1-59 


1.24 
1^57 


1.26 
1.55 


1.28 
1.54 


1.30 
1.52 


i^32 
1-50 


1^35 
1.48 


1^37 
1.46 


1-39 
1.44 


1.41 
1. 41 






31 


1. 21 

1^59 


1.23 
1.58 


1.25 

1^57 


1.26 
1.55 


1.28 
1.53 


i^3i 
i^5i 


1^33 
1.50 


1-33 
1.48 


1.37 
1.46 


1-39 

1.44 


1. 41 
1.41 








32 


1.23 
1.58 


1-25 

1.56 


1^54 


1.29 
1.53 


1.31 
i^5i 


1^33 
1.50 


1.35 
1.48 


1-37 
1.46 


*i-3y 

1.44 


1. 41 
1.41 


ngle 


3 only. 


- 


33 


1.25 
1.56 


1.27 
1-54 


1.29 
1.53 


1.31 
1^51 


i^33 
1.49 


1.35 
1.48 


1^37 
1^45 


1^39 

1-43 


1. 41 
1. 41 


^ht a 




34 


1.28 
1^54 


1.30 
1.52 


1.31 
i^5i 


1.33 
1.49 


1.35 
1.48 


1.37 
1.45 


1-39 

1.43 


1.41 
1.41 


it rig 




35 


1.30 
1^52 


1.32 
1.50 


1^34 
1.49 


1.35 
1.48 


1.38 
1.45 


1-39 

1.43 


1. 41 

1. 41 


?ces £ 




36 


I^32 

1.50 


1-34 
1.49 


1^36 
1.47 


1.38 
1.45 


1.40 

1.43 


1.41 
1.41 


Ih a: 




37 


1.34 
1.49 


1.36 
1.47 


1.38 
1.45 


1.40 
1.43 


1. 41 
1. 41 


rs wi 




38 


1.36 
1.47 


1.38 
1.45 


1.40 
1.43 


1. 41 
1. 41 


gea 




39 


i^38 
1-45 


1.40 
1-43 


1.41 
1.41 


evel 




40 


1.40 
1^43 


1.41 
1.41 


"or b 




41 


1.41 
1.4. 


P 





BROWN & SHARPE MFG. CO. 



73 



DIAMETER 



INCREMENT. 

GEAR 



( Continued?) 







23 


25 


24 


23 


22 


21 


20 


19 


IS 


17 


16 


15 


14 


13 


12 




12 


84 
1.S2 


.87 
1.80 


.8y 
1-79 


•93 
1-77 


.96 
1.76 


•99 
1^74 


1.03 
1.71 


1.07 
1.69 


I.U 

1.66 


1. 15 
1-63 


1.20 
1.60 


'•25 

1.56 


1.30 

1-52 


1.36 

1.47 


1.41 
1.41 




13 


1-79 


•92 
1-77 


•95 
1.76 


.98 
1^74 


1.02 
1.72 


1.05 
1.70 


1.09 
1. 68 


I-I3 
1.65 


1.17 
1.62 


1. 21 

^•59 


1.26 
1-55 


I-3I 
I-5I 


1.36 
1.47 


I.4I 

1.41 






14 


•95 

1.76 


.98 
1.75 


1^73 


1.04 
1.71 


1.07 
1.69 


I. II 
1.66 


I-I5 
1.64 


1. 19 
1.61 


1.23 

1. 58 


1.27 
1.54 


1.32 
1.50 


1.36 
1.46 


1. 41 
1.41 








15 


i.CU 

1-73 


1.03 
1. 71 


1.06 
1.70 


1.09 
1.6S 


1-13 
1.65 


i.i5 
1.63 


1.20 
1.60 


1.24 
1-57 


1.28 
1.54 


1.32 
1.50 


1-37 
1.46 


1.41 
1. 41 








16 


1.05 
1.70 


r.oS 
1.6S 


I. II 
1.65 


1.14 
1.64 


1. 18 
1.62 


1. 21 
1^59 


1-25 
1.56 


1.29 
1.53 


1-33 
1.49 


1-37 
1.46 


1.41 
1.41 






z 
o 
z 
a 


17 


1.09 
1.67 


1. 12 

1-65 


1. 16 
1.63 


1. 19 
1.61 


1.22 
1. 53 


1.26 
1-55 


1-30 
1.52 


1.33 
1.49 


1-37 
1-45 


1.41 
1.41 






18 


1.14 

1.64 


1.17 
1.62 


1.20 
1.60 


1-23 
1-57 


1.27 
1-55 


1.30 
1.52 


1-34 
1.49 


1-38 
1.45 


1.41 
1.41 






19 


i.iS 

1.61 


1. 21 
1-59 


1.24 
1-57 


1.27 
1-54 


1^31 
1^51 


1-34 
1. 48 


1.38 
1.45 


1.4. 
1. 41 








20 


1.22 
1-59 


1-25 
1.56 


1. 28 
i^54 


I-3I 


1^35 
1. 48 


1.38 
1-45 


1.41 
1.41 








21 


1.26 
1.56 


1.29 
1-53 


i^32 
1.50 


1-35 
1.48 


1.3S 
1-45 


1.41 
1.41 








22 


1.29 

1-53 


1.32 
1.50 


1-35 
1.47 


1.3S 
1-45 


1.41 
1.41 








23 


1-33 
1.50 


1-35 

1.47 


1.3S 
1.44 


1.41 
1.41 


• 






24 


1.36 

1.47 


1-39 
1.44 


1.41 
1.41 








25 


1-39 
1.44 


1.41 
1.41 








26 


1.41 
1.41 







For bevel gears with axes at right angles only. 



BROWN & SHARPE MFG. CO, 75 



TABLES FOR ANGLES OF EDGE AND ANGLES 

OF FACE. 

The following tables have been computed for convenience in 
calculating data for bevel gears with axes at right angle. They 
do not hold good for bevel gears with axes at any other angle. 

To use the tables the number of teeth in gear and pinion 
must be known. 

Having located the number of teeth in the gear on the 
horizontal line of figures at the top of the table, and the num- 
ber of teeth in the pinion on the vertical line of figures on the 
left-hand side, we follow the two columns to the square formed 
by their intersections. 

The two angles found in the same square are the respective 
angles for gear and pinion. The tables are so arranged that 
the angle belonging to the gear is always placed above the 
angle for the pinion. 

The cutting angle for a gear or pinion is equal to the 
angle of face of its mate as given in the following tables. 



76 



BROWN & SHARPE MFG. CO. 



ANGLE OF EDGE. 

GEAR 





72 


71 


70 


69 


68 


67 


66 


65 


64 


63 


62 


61 


60 


59 


38 


57 


12 




8o°25' 
935' 


80=16' 
9''44' 


80-8 ' 

9°52' 


79"59' 
10=1' 


79=51' 
10=9' 


79"42' 
10=18' 


79=32' 
10=28' 


79=23 

10=37' 


79-13' 

10=47' 


79=3' 
10=57' 


78-52' 
11=8' 


78=41' 
11=19 


78=30' 
11=30 


78=19' 

ii°4i' 


78-7' 
11-53' 


13 


79'-46' 
10 '14' 


79"37'l 79-29' 
io"23'| io°3i' 


79=20' 
10=40' 


79=11' 
10=49' 


791' 
10=59' 


78-51' 
11=9' 


78=41' 
11=19' 


78-31' 
11=29' 


78=20' 
11=40' 


78=9' 
11=51' 


77=58' 
12=2' 


77=46' 
12=14' 


77-34' 

I2°26' 


77=22' 
I2°38' 


77-9' 
12=51' 


14 


79"o' 

I1"0' 


78 31' 
ii"9' 


78 -41' 
11=19' 


78=32' 
11=28' 


78=22' 
11^38' 


78=11' 
11=49' 


78^1' 
ii'-''59' 


77=51' 

12=9' 


77 "40' 
12 '20' 


77=28' 
12=32' 


77=17' 
12=43' 


77=5' 
12=55' 


76'52' 
13=8' 


76-39' 
13=21' 


76=26' 
13-34' 


76=12' 
13-48' 


15 


1 1 "4 6' 


784' 
II 56' 


77-54' 

12^6' 


77 44' 
12=16' 


77=34' 
12=26- 


77 "23' 
12=37' 


77=12' 
12=48' 


77=0' 
13=0' 


76=48' 
13=12' 


76=36' 
13=24' 


76''24' 
I3='36' 


76=11' 
13-49' 


75-' 58 
14=2' 


75-44' 
14=16' 


75=30' 
14=30' 


75=15' 
14-45' 


16 


77^28' 

I2°32' 


77' '1 8' 
12^42' 


77^7' 
12^53' 


7&"57' 
i3°3' 


76-45' 
I3'i5' 


76=34' 
13=26' 


76^-22' 

i3"38' 


76=10' 
i3'5o' 


75''58' 
14=2' 


75=45' 
I4"i5' 


75=32' 
I4='28' 


75=18' 
14=42' 


75-4' 
14=56' 


74-49' 
15=11' 


74-35' 
15=25' 


74=19' 
15=41' 


17 


76"43' 
I3°i7' 


76^32' 
I3"'28' 


76=21' 
i3'-'39' 


70=10' 
I3>' 


75"58' 
14 2 ' 


75=45' 
14=14' 


75'33' 
14=27' 


75=21' 
14=39' 


75'3' 
14^52' 


74'54' 
I5°6' 


74=40' 
15=20' 


74-25' 
15-35' 


74=11' 
i5°49' 


73=56 

l6°4' 


73-40' 
16=20' 


73=24' 
16=36' 


18 


75'5S' 
14^2' 


75'46' 
14-^14' 


75=35' 
14=25' 


75=23' 

14 "37' 


75=10' 
14=50' 


74=5^' 
15=2' 


74M5' 
15^15' 


74=31' 
15=29' 


74=17' 
i5°43' 


74 "3' 
15=57' 


73=49' 
16=11' 


73;33' 
16=27' 


73=18' 
16=42' 


73=2' 
16=58' 


72-45' 
17=15' 


72=29 
17-31' 


19 


75"i3' 
i4''47' 


75"i ' 
I4"59' 


74=49' 
15=11' 


74-36' 
15=24' 


74"23' 
I5"37' 


74=10' 
I5°50' 


73>6' 
16 4' 


73=42' 
i6=iS' 


73=28' 
16=32' 


73=13' 
16=47' 


72=58' 
17=2' 


72=42' 
I7"i8' 


72=20' 
1734' 


72-9' 
17-51' 


71=52' 
i8'8' 


71-34' 

iS=26' 


20 


74°29' 


74"i6' 
I5''44' 


74=3' 
i5'57' 


73=50' 
i6"io' 


73=37' 
16=23' 


73=23' 
16=42' 


73"9' 
16=51' 


72=54' 
17=6' 


72=39' 

I7'2I' 


72=23' 
1 7 "37' 


72=7' 
17-53 


71=51' 
iS=9' 


71=34' 
18=26' 


71=16' 
1 8=44' 


70=59' 
19=1' 


70=40' 
19=20' 


21 


73'45' 
1 6° 1 5' 


73=32' 
i6'^28' 


73-'i8' 
i6''42' 


73=4 ' 
16=56' 


72=50' 
17=10' 


72=36' 
17=24' 


72=21' 
I 7^39' 


72=6' 
i7°54' 


71=50' 
iS'io' 


71=34' 
i8"26' 


71=17' 
18-43' 


71=0' 
19=0' 


70-43' 
19=17' 


70=24' 
19=36' 


70=6 
I9''54' 


69=46' 
20° 14' 


22 


73" I' 
i6°59' 


72-47' 
1 7'- 1 3' 


72"33' 
i7°27' 


72-19' 
17=41' 


72=4' 
17=56' 


71-49' 
i&=ii' 


7 I "34' 
18^26' 


71=18' 
1842' 


71=2' 
18=58' 


70=45' 
19-15' 


70C28' 
19-34' 


70=10' 
19=50' 


69=52' 
20=8' 


69 =33' 
20=27' 


69-13' 
20=47' 


68=54' 
21=6' 


23 


72^17' 
I7''43' 


72-3' 
I7'57' 


71049' 
iS°ii' 


71=34' 
l8°26' 


7i--'i9' 

18=41' 


71=3' 
lS=57' 


70=47' 
19" 13' 


70-30' 
19=30' 


70=14 
19=46' 


69=57' 

20=3' 


69=39' 
20=21' 


69=20' 
20=40' 


69=2' 
20=58' 


68=42' 

21=lS' 


68=22' 

21-38' 


68=2' 
21=58' 


24 


71^34' 

I&''26' 


7P19' 
i8"4i' 


71-5' 
IS"55' 


70=49' 
ig'ii' 


70=34' 
19=26' 


70=17' 
I9°43' 


70=1' 
i9"59' 


69=44' 
20=16' 


69=26' 
20=34' 


69-9' 
20=51' 


68=50' 
21=10' 


68=31' 
21=29' 


68=12' 
21=48' 


67=52 

22=8' 


67-31' 
22=29' 


67=10' 
22=50' 


25 


70^51' 
i9"9' 


70-36' 
19^24' 


70=21' 
i9''39' 


70=5' 
19^55' 


6949' 

20=11' 


69=32' 
20=28' 


69=15' 
20=45' 


68=57' 
2i"3' 


68=40' 

21-20' 


68=21' 
2 1 '39' 


68=3' 
21=57' 


67=43' 
22=17' 


67=23' 

22=37' 


67=2' 
22 58' 


66=41' 
23°i9' 


66=19' 
23-41' 


26 


7o^^9 ' 
I9'5I' 


69^53' 

20^7' 


69''37' 
20=23' 


69=21' 
20=39' 


69=4' 

zo^se' 


68=48' 
21=12' 


68=30' 
21=30' 


68=12' 
2i'48' 


67^^54' 
22°6' 


67-34' 
22=26' 


67=15' 
22-45' 


66=55' 
23"5' 


66=34' 
23=26' 


66=13' 
23-47' 


65-51' 
24-9' 


65-29 
24-31 


27 


69°27' 
20°33' 


69^10' 

20^50' 


68=54' 
21=6' 


68=38' 
21=22' 


68;'20' 
21=40' 


68=3' 
21=57' 


67 "45' 
22=15' 


67=26' 

22=34' 


67=8' 
22=52' 


66-48' 
23-12' 


66°28' 
23'-32' 


66=7' 
23=53' 


65=46' 
24=14' 


65-25' 
24=35- 


65:2', 

24 58' 


64=39' 
25=21' 


28 


6845' 

2I"I5' 


68^29' 

21^31' 


68=12' 

21=48' 


67=55' 

22=5' 


67=157' 

22=23' 


67=19' 
22=41- 


67=1' 
22=59' 


66=42' 

23=18' 


66=22' 
23=38' 


66=2' 
23-58' 


65-42' 
24 =[8' 


65=21- 
24=39' 


64-59' 
25=1' 


64-37' 
25=^23' 


64=14' 
25=46' 


63-50' 
26=10' 


29 


68"4' 
2i"56' 


67"47' 
22^13' 


6730' 
22-30' 


67=12' 
22=48' 


66=54' 
23 '6' 


66=36' 

23''24' 


66=17' 
23"43' 


65=57' 
24=3' 


65/37' 
24-23' 


65=16' 
24=44' 


64=55' 
25-5' 


64=34' 
25=26' 


64=12' 

25=48' 


63=50' 
26'I0' 


63-26' 

26=34' 


63-2' 
26=58' 


30 


67 23' 
22-37' 


67''^6' 

22^54' 


60=48- 
23=12' 


66=30' 

23''3o' 


66-'l2' 

23=48' 


65=52' 
24-8' 


65"33' 

24=27' 


65=14' 
24=46' 


64=53' 
25=7' 


64-32' 
25=28' 


64=10' 
25-50' 


63-49' 
26=11' 


63=26' 
26=34' 


63=3', 
2657 


62-39' 
27=21' 


62=14' 
27-46' 


31 


66''42' 
23'i8' 


66"25' 
23"35' 


66=6' 
23'54' 


65=48- 
24=12' 


65-29' 
24^31' 


65: 10' 

24''5o' 


64=50' 
25=10' 


64=30' 
25=30' 


64=9' 
25=51' 


63=48' 
26=12' 


63=26 
26=34' 


63"3' 
26=57' 


62=40' 
27=20' 


62=18' 
27=42' 


61=53' 

28"?' 


61=28' 
28=32' 


32 


66 "2' 
23'^58' 


6544' 
24 i6' 


65=26' 
24^34' 


65=7' 
24^53' 


64=48' 
25=12' 


64=28' 
25 '32' 


64=8' 
25=52' 


63=47' 
26=13' 


63=26' 
26=34' 


63='4' 
26=56' 


62=42' 
27=18' 


62=19 
27=41' 


61=56' 
28=4' 


61=32' 
28=28' 


6i°7' 
28-53' 


60=41' 
29=19' 


33 


65°23' 

24 v 


65' 4' 
24"56' 


64-45' 
25=15' 


64=26' 
25''34' 


64=7' 
25=53' 


63^47' 
26- 13' 


63=26' 
26=34' 


635' 
26=55' 


62=43' 
27=17' 


62=21' 

27-39' 


61=58' 

28°2' 


61=35' 
28=25' 


61=11' 
28=49' 


60=47' 
29-13' 


6&=2I' 

29-39' 


59-56' 
30=4' 


34 


64"43' 
25'i7' 


64=25' 
25"35' 


64=5' 
25'55' 


63=46' 
26^14' 


63=26' 
26=34' 


63=5' 
26=55' 


62=45' 
27^15' 


62=23' 
27=37' 


62=1' 
27"59' 


61=38' 
28=22' 


61=15' 
28=45' 


60=52' 
29'=8' 


60=28' 
29=32' 


60=3' 
29-57' 


59-37' 
30=23' 


59=11' 
3o''49' 


35 


64 "5' 
25'=-55' 


63'45' 
26'i5' 


63=26' 
26=34' 


636' 
26=54' 


62=46' 

27=14' 


62=25' 

27=35' 


62=4' 
27'56' 


61=42' 
28=18' 


61=19' 
28=41' 


60=57' 
29-3' 


60=33' 
29=27' 


60=9 ' 
29-51' 


59=45' 
30=15' 


59-19' 
30=41' 


58=53' 
31-7 ' 


58=27' 
31-33' 


36 


63>6' 
26 M' 


63^7' 
26-^53' 


6247' 
27=13' 


62=27' 
27^^33' 


6i'6' 
27^54' 


61=45' 
28=15' 


61=23' 
28=37' 


61=1' 

28=59' 


60=38' 
29=22' 


60=15' 
29-45' 


59=51' 

30=9' 


59-27' 
30-33' 


59=2' 
30=58' 


58-37' 
31-23' 


58=10' 
31-50' 


57=43' 
32=17' 


37 


62^48' 
2/12' 


62 28' 
27=32' 


62=8' 

27'52' 


61=48' 
28=12' 


61=27' 
28=33' 


61=5' 

28=55' 


60=44' 
29=16' 


60=21' 
29"39' 


59-58' 
30=2' 


59=35' 
30-25' 


59" 10' 
30=50' 


58-46' 
3i"i4' 


58=20' 
31=40' 


57=54' 
32=6' 


57-28' 
32-32' 


57=1' 
32=59' 


38 


62"l I' 

27"49' 


61=51' 
28=9' 


61=30' 
28=30' 


61=9' 
28=51- 


60=48' 

29'?I2' 


60=26' 
29"34' 


60=4 ' 
29=56' 


59°4i' 
30°i9' 


5918' 
30=42' 


58=54' 
31-6' 


5S-30' 
31=30' 


58=5' 
31-55' 


57=39' 
32=21' 


57=13' 
32-47' 


56=^6' 
33°i4' 


56=19' 

33=41 


39 


6i"33' 

28°27' 


61=13' 
28=47' 


6053' 
29=7' 


60=31' 
29=29' 


60=10' 
29=50' 


59=48' 
30=12' 


59=25' 
30=35' 


59=2' 
3058' 


58=39' 
31=21' 


58=14' 
31-46' 


57'50' 
32=10' 


57=24' 
32-36' 


56=58' 
33=2' 


56-32' 

33-28' 


56=6' 
33=54' 


55=37' 
34-23' 


40 


29°3' 


60=36' 

29°24' 


6o°i5' 
29^45' 


59=53' 
30-7' 


59=32' 
30=28' 


59=10' 
3o''5o' 


58=47' 
3i°i3' 


58=24' 
31^36' 


58-0' 
32=0' 


57-35' 
32=25' 


57=10' 
32=50' 


56-44' 
33"i6' 


56=19' 
33-4 1' 


55=52' 
34°8' 


53=24' 
34-35' 


54=57' 
35°3' 


41 


60" 20' 
29V 


6o°q' 
30°o' 


59^39' 
30=21' 


59" 1 7' 
30^43' 


58=55' 
315' 


58=32' 
31=28' 


58^-9' 
31=51' 


57=45' 
32^15' 


57"2i' 
32"39' 


56-57' 
33-3' 


56-32' 
33-28' 


56=6' 
33°54' 


55=39' 
34=21' 


55=12' 
34-48' 


54=44' 
35-16' 


54°i6' 
35P44' 


42 


59-45' 
30^15' 


59''24' 


59^3' 
30^57' 


58=40' 
31=20' 


58=18' 
31=42' 


57=55' 
32"5' 


57=32' 
32=28' 


57=8' 
32'52' 


56=43' 
33=17' 


56=19' 
33=41' 


55-53' 
'34-7' 


55 '27' 
34-33' 


55=0' 
35=0' 


54=33' 
35-27' 


54=5' 
35=55' 


53=37' 
36-23 



For Bevel Gears with axes at right angles. 
Angle for gear above, for pinion belov\^. 



BROWN & SHARl'E fvIFO. CO. 



ANGLE OF EDGE. 

GEAR 





5S 


55 


54 


53 


52 


51 


50 


49 


48 


47 


46 


45 


44 


43 


42 


12 


77''54' 


77"42' 

I2°l8' 


77''-'8' 

12°32' 


77=15' 
12=45' 


77=0' 
13=0' 


76=46' 
13=14' 


76"3o' 
13=30' 


76=14' 

I3''46' 


75=58' 
14-^2' 


75=41' 
14=19' 


75=23' 
14=37' 


75=4' 
14=56' 


74 '45' 
1 5 '15' 


74 '25' 
15 '35' 


74 '3' 
I5"57' 


13 


76"56' 


76^42' 
i3°iS' 


76°2S' 
13^32' 


76''i3' 
'3=47 


75"'58' 

I4°2' 


75=42' 
I4°i8' 


75=26' 
i4"34' 


75=8' 
i4''52' 


74=51' 
15=9' 


74=32' 
15=28' 


74=13' 
15=47' 


73=53' 
16=7' 


73^32' 
16=28' 


73=11' 
16=49! 


72=48' 
17-12' 


14 


75"58' 

14°2' 


75°43' 
I4°i7' 


75"2S' 
14=32' 


75=12' 
14=48' 


74''56' 
16=4' 


74=39' 

!5=2l' 


74=21' 
15=39' 


74=3' 
15=57' 


73=44' 
16=16' 


73=25' 
1 6 "35' 


73=4' 
16=56' 


72''43' 
I7°i7' 


72=21' 
17=39' 


71-58' 
18=2' 


7i"34' 
18=26' 


15 


75''o' 
i5°o' 


74°44' 
I5°i6' 


74=29' 
I5°3i' 


74-'i2' 
I5°48' 


73=55' 
1 6=5' 


73=37' 
16=23' 


73=18' 
16=42' 


72=59' 
17=1' 


72=39' 
1 7° 21' 


72"i8' 
17=42' 


71=36' 
18=4' 


71=34 
18=26' 


7i"io' 
18=59' 


70 '46' 
19=14' 


70^^21' 
i9°39' 


16 


74"3' 
I5''57' 


73°47' 
i6°l3' 


73°30' 
16=30' 


73=12' 
16=48' 


72=54' 
17^6' 


72=35' 
17=25' 


72°i5' 
17=45' 


71=55' 
18=5' 


71=34' 
18=26' 


7I°12' 

1 8=48' 


70=49' 
I9°ii' 


70=26' 
19°34' 


70-1 ' 
19"59' 


69'35' 
20=25' 


69"^" 
20=51' 


17 


73" 7 ' 
i6°53' 


72°49' 
17° 11' 


72=31' 
17=29' 


72=13' 
i7°47' 


71=54' 
i8°6' 


7 '=34' 
18=26' 


7i°i3' 
l8°47' 


70=52' 
19=8' 


70=30' 
19=30' 


7o°7' 
19=53' 


69=43' 

20=1/' 


69=17' 
20=43' 


08-52' 
2f8' 


68=25' 
21=34' 


67=58' 
22=2' 


18 


72"I1' 

I7"49' 


7i°53' 
l3°7' 


71=34' 
lS°26' 


Vi=i5' 
iS°45' 


7o''54' 
19=6' 


70=33' 
19=27' 


70°12' 

19^48' 


69=50' 
20=10' 


69=26' 
20=34' 


69=3' 
20=57' 


68=38' 
2I"22' 


68=12' 
21=48' 


67=45' 
22=15' 


67-17' 

22=43' 


66=48' 
23-12' 


19 


7i°i5' 
i8''45' 


7o"57' 
I9°i' 


70=37' 
I9°23' 


70=17' 
19^43' 


69=56' 

20"4 ' 


69=34' 
20=26' 


69=12' 
20''48' 


6S°4S' 

21=12' 


68=25' 
21=35' 


67=59 ' 

22°1' 


67=34' 
22=26' 


67^6' 
2 2 '54' 


66=38' 

23=22' 


66=10' 
23°5o' 


65=39 
24=21' 


20 


70°21' 

I9°39' 


7o°i' 
I9"59' 


6941' 
20=19' 


69=19' 
2041' 


68=57' 
21=3' 


68=35' 

21°25' 


68=1?' 

21=48' 


67=48' 
22=12' 


67=23' 

22=37' 


66^37' 
23°3' 


66-30' 
23=30 


66-2' 
23-58' 


65=33' 
24-27' 


05=3' 
24=57' 


64-32' 

25=28' 


21 


69°2b' 
2o°34' 


69°6' 
2o°54' 


68=45' 
21=15' 


68=23' 
2i°37' 


68=0 ' 

22°0' 


67°37' 

22°23' 


67=13' 
22=47' 


66=48' 
23=12' 


66=22' 

23=38' 


65^55' 
24=5' 


65=28' 
24°32' 


64^59' 
25=1' 


64=29' 

25°3i' 


03°58' 
26^2' 


63-26' 
26"34' 


22 


6iJ"33' 

21°27' 


6S"i2' 
2i°4S' 


67 "50' 
22=10' 


67=27' 

22=33' 


67=4' 

22=56' 


66=40' 

23°20' 


66=15' 
23=45' 


65=49' 
24=11' 


65=23' 
24°37' 


04=55' 
25°5' 


64-26' 

25=34' 


63=57' 
26=3' 


63=26' 

26=34' 


62=54' 
27°6' 


62-21' 
27^39' 
"6i°i8' 

28°42' 


23 


67"4i 

22°I9' 


67°i8' 

22°42' 


&5=55' 
23"5' 


60=32' 
23=28' 


66°S' 

23°52' 


65=44' 
24=16' 


65=18' 

24°42' 


64'=5l' 
25=9' 


64^24' 
25^36' 


63=55' 
26=5' 


63=26' 
26=34' 


62-50' 
27=4' 


62-24' 
27=36' 


61-52' 
28=8' 


24 


66-'4S' 

23''l2' 


66°26' 
23°34 ' 


66=2' 
23°5S' 


65=38' 
24=22' 


65=14' 

24>' 


64=48' 
35=12' 


64=22' 

25=38' 


63=54' 
26=6' 


63=26' 
26=34' 


62=37' 

27 V 


62=27' 
27=33' 


61=56' 
28=4' 


61-23' 
28^37' 


60=50' 
29=10' 


6o°i5' 
29°45' 


25 


65 '57' 
24^3' 


&3°33' 

24°27' 


65=9' 
24=51' 


04=45' 
25°I5' 


b4"20' 
25°4o' 


63=53' 

26=7' 


63°26' 
26-34' 


62^58' 

27°2' 


62"29' 

27=31' 


6i=59' 

2&°I' 


61-29' 
28=31' 


6o"57' 
29°3' 


60-24' 
29=36' 


59=50' 
30°io' 


59°14' 
3o'^46' 


26 


65"6- 
24''54' 


64°42' 
25°iS' 


64=18' 
25=42' 


63=^52' 

26°S' 


63=26' 
26°34' 


62=59' 
27=1' 


62=31' 

27°29' 


62-3' 

27°57' 


61=33' 
28=27' 


61=3' 
28=57' 


60-31' 
29-29' 


59=59' 
30°i' 


59=25' 
30^35' 


58=50' 
3i°lo' 


58°i4' 
3r°46' 


27 


64"i6' 

25"4^' 


63°5i' 
26°q' 


63=26' 
■26=34' 


63=0' 
27=0' 


62°34' 
27°36' 


62=6' 
27=54' 


61=38' 

28=22' 


6i"8' 
iS=52 ' 


60=38' 
29=22' 


60=7' 
29=53' 


59=35' 
30=25' 


59=2' 
30=58' 


58-28' 
31=32' 


57=53' 
32=7' 


57„i&' 
3244' 


28 


63^26' 
26"34' 


63°!' 
26°59' 


62=36' 
27=24' 


02"9' 

^7°5i' 


6i''42' 
28=18' 


61=14' 
28=46' 


6o'45' 
29"" 1 5' 


60=15' 
29=45' 


59=45' 
30=15' 


59=13' 
30°47' 


58-40' 
31-20' 


587' 
31=53' 


57=32' 
32=28' 


56=56' 
33°4' 


56°i9' 
33°4i' 


29 


62^37' 

27°23' 


62''l2' 

27°48' 


61=45' 
28=15' 


6i°i9' 
28°4i ' 


00=51' 
29°9' 


6o°23' 
29=37' 


59=53' 
30=7' 


59=23' 
30=37' 


58=52' 
31=8' 


58^19' 
31=41' 


57=46' 
32-14' 


57-12' 
32°4S' 


56=37' 
33=23' 


56=0' 
34°o' 


55=23' 
34=37' 


30 


61^49' 
2S"n' 


6i°33' 
2S°37' 


5o=57' 
29=3 ■ 


6o°29' 
29"3l' 


6o°l' 
29=59 


59=32' 
30=28' 


59 '2' 
30°58' 


58=32' 
31=28' 


58=0' 
32=0' 


57'27' 
32=33' 


56=53' 
33=7' 


56-19' 
33=41' 


55=43' 
34=17' 


55=5' 
34=55' 


54=28' 
35=32' 


31 


6l"2' 
2b°5&' 


oo"36' 
29' -4' 


60^6' 
29^54' 


59=41' 
30°19' 


59=12' 
30=48' 


58=42 
31=18' 


5S-'I2' 
3i°48' 


57=41' 
32=19' 


57=8' 
32°52' 


56=36' 
33=24' 


56=1' 
33=59' 


55=26' 
34=34' 


54=50' 
35=10' 


54=12' 
35°48' 


53=34' 
36=26' 


32 


60" 1 5 
29°45 


59^48 ■ 
30=12' 


59=21' 


56=52' 
31=8' 


58=34' 
31=26' 


57=54' 
32=6' 


57=23' 
32"37' 


56=52' 
33°8' 


56=19' 
33=41' 


55=45' 
34=15' 


55-11' 
34=49' 


34=35' 
35°25' 


53=58' 
36=2' 
53=8' 
36=52' 


53=21' 

36=39' 
52=29' 

37°3i' 


52=42' 
37°i8' 


33 


59"29' 
30 "31' 


59"2' 
30=58' 


58 "34' 
31=26' 


5>8=5' 
31=55' 


57=36' 
32=24' 


57^6' 
32=54' 


56=M' 
33=26' 


33=58' 


55'3o' 

34=30' 


54=56' 
35=4' 


54=21' 
35=39' 


53=45 ■ 
36°i5' 


51=50' 
38°9' 


34 


5s"44' 
3i''t6' 


58 "'lo' 
3i°44' 


57=48' 
32=12' 


57=19' 
32=41' 


56=49' 
33=11' 


56=19' 
33=41' 


55=47' 
34'=i3' 


55=15' 
34=45' 


54=41' 
35=19' 


54=7' 
35=53' 


53=32' 
36=28' 


52=52' 
37"8' 


52=18' 
37=42' 


51=40' 
38=20' 


51=0' 
39=0' 


35 


32°0' 


57'32' 

32''2S' 


57 3' 
32=57' 


56=33' 
33=27' 


56=3 ' 
33=57' 


55°32' 
34 '^28' 


55=0' 
35°o' 


54=28' 
35^32' 


53=54' 
36=6' 


53=20' 
36=40' 


52-44' 
37=16' 


52-5' 
37^52' 


51=30' 
38=30' 


50=51' 
39°9' 


50-12' 
39°48' 


33 


57'^i6' 
3244' 


56^48' 

33°i2' 


56^19' 
33=41' 


55=49' 
34=1^' 


55=18' 
34=42' 


54=47' 
35=13' 


54=15' 
33''45' 


53=42' 
36=18' 


53=8' 
30=52' 


52"33' 
37=2/' 


51=57' 
38=5' 


51^20' 
3840' 


50-^3' 
39°17' 


50=4' 
39^56' 


49-24' 
40=36' 


37 


56 '32' 
33°2S' 


56''4' 
33"56 


55=35' 
34°25' 


.■;5=5 ' 
34°55' 


54=34' 
35=26' 


54=^' 
35=58' 


53=30' 
36°30' 


52=56' 
37''4' 


52°23' 

37=37' 


51=47' 
38=13' 


51-12' 

38=48' 


jO=35' 
39'"25' 


49o6' 
40°4' 


49^17' 
40=43' 


48-37' 
41=23' 


38 


55'oi' 
34°9' 


55"2i' 
34°39' 


54=52' 
35^8' 


54=23' 
35=37' 


53=51' 
36=9' 


53=18' 
36=42' 


52=46' 
37=14' 


52°I2' 

37°48' 


51=3^' 

3S°22' 


51=3' 
38=57' 


50=27' 
39=33' 


49=49' 
40=11' 


49^11' 
40'^y' 


148=32' 
41=28' 


47=52' 
42=8' 
47-7' 
42=53' 


39 


55"9' 
34''5i' 


54 "39' 
35°2l' 


54=10' 
35 V 


53=39' 
3b=2i' 


53=7' 
36=53' 


52=36' 
37 "24' 


52-3' 
37°57' 


51-29' 
3831' 


50=54' 
39"6' 


50=19' 
39°4i' 


49=42- 
40=18' 


49=5' 
40=55' 


48=27' 
41=33' 


47=48' 
42-12' 


40 


54''2S' 
35"32' 


53"5S' 
36°2' 


53°28' 
36=32' 


52=58' 
37=2' 


52"26' 

37°34' 


51=54' 


51=20' 
38=40' 


50=46' 
3^°i4' 


50=12' 

39°48' 


49'30' 
40=24' 


48=59' 

4i°r 


48=22' 
4i°38' 


47=44' 
42=16' 


47='5' 
42=55' 


4624' 
43°36' 


41 


53"4«' 
36"! 2' 


:53"^i7' 
36°43' 


52=48' 
37=12' 


52=16' 
37°44' 


51=45' 
38=15' 


5I°I2' 

38=48' 


50^39' 
39°2i' 


50"5' 
39=55' 


49=30' 
40°30' 


48=54' 
41=6' 


48=17' 
41=43' 


47*^ 
42^20' 


47=1' 
42=59' 


46=-22' 
43=38' 


45=41' 
44=19' 


42 


53"a' 

^6"S2' 


52 °38' 

37°22' 


52"S' 
37=52' 


51=36' 
38=24' 


51=4' 
38=56' 


50=32' 
39''2S' 


49=58' 
40=2' 


49=24' 
40=36' 


48=49' 
4i°ii' 


48=13' 
41=47' 


47=30' 
42-24' 


46=59' 
43=1' 


46=20' 
43=40' 


4540; 
44=20' 


45° 



For Bevel Gears with axes at right angles. 
Angle for gear above, for pinion below, 



78 



BROWN & SHARPE MFG. CO. 



ANGLE OF EDGE. 

GEAR 





41 


40 


39 


38 


37 


36 


35 


34 


33 


32 


31 


30 


29 


28 


27 


12 


73 '4 1' 
i6°i9' 


73°i8' 
i6"42' 


72"54' 
17^6' 


72=28' 
17=32' 


72'=2' 
17-58' 


71=34' 
iS-26' 


71=5' 

18=55' 


70^34' 
19=26' 


70=1 ' 
19=59' 


69=26' 
20-34' 


68=50' 
21=10' 


68=12' 
21 "48' 


67=31' 

22°29' 


66=48' 

23=12' 


66=2' 
23=58' 


13 


72 '■iS' 
I7°35' 


71^^59' 
iS'i' 


7i"34' 
i8''26' 


71=7' 
18=53' 


70-39' 
I9°2l' 


70-9' 
19=51' 


69=37' 
20=23' 


69 '5' 
20=55' 


68-30' 
21=30' 


67=53' 
22=7' 


67=15' 
22=45' 


66J34; 
23=26' 


65=51' 
24=9' 


65=6' 
24=54' 


64-17' 
25=43' 


14 


71-9' 


70'43' 
19^17' 


7o"i5' 
I9''45' 


69=46' 
20=14' 


69=16' 
20=44' 


68=45' 
21-15' 


68=12' 
21=48' 


67 "37' 
22=23' 


67=0' 
23=0' 


65=23' 
23=37' 


65=42 ' 

24=18' 


64=59' 
25=1' 


64=14' 
25=46' 


63=26' 

26=34' 


62=36' 
27-24' 


15 


69''54' 

2o""6' 


69^26' 
20 'm' 


68-38' 

21-2' 


68=28' 
21=32' 


67-56' 

22=4' 


67-23' 
22-37' 


66-48' 
23-12' 


66=12' 

23=48' 


65=33' 
24=27' 


64=53' 

25°7' 


64-10' 
25=50 ' 


63=26' 
26=34' 


62=39' 
27=21' 


61=49 ' 

28°Il' 


6o=57' 
29=3' 


16 


6S''4i' 


6&°I2' 

21^48 ' 


67^42' 
22°l8' 


67=10' 
22=50' 


66-37' 
23=23' 


66=2' 
23=58' 


65-26' 
24=34' 


64=48' 
25=12' 


64=8' 
25=52' 


63-26' 
26=34' 


62-42 ' 
27=18' 


61=56' 

28=4' 


61-7' 
28=53' 


60-15' 
29=45' 


59=21' 
30=39' 


17 


67^29' 

22"3I' 


66^58' 

23'2' 


66^27' 
23"33' 


65=54' 
24=6' 


65=19' 
24=41' 


64=43' 
25=17' 


64=6' 
25=54' 


63=26' 
26=34' 


62-45' 
27=15' 


62=1' 
27=59' 


61=15' 
28=45' 


60=28' 
29=32' 


59=37' 
30=23' 


58=44' 
31=16' 


57=48' 
32=12' 


18 


66'^i8' 
23^42' 


65°46 ' 
24°i4' 


65^4' 
24=46' 


64=39' 
25=21' 


64=4' 
25=56' 


63-26' 
26=34' 


62=47' 
27=13' 


626' 
27=54' 


61=23' 

28=37' 


60-38' 
29-22' 


59=51' 
30=9' 


59=2' 
30=58' 


5S=io' 
31=50' 


57=16' 

32=44' 


56=19' 
33=41' 


19 


24°52' 


54''36' 
25-24 ' 


64=2' 
25'5S' 


63=26' 
26=34' 


62-49' 
27=11' 


62-10' 
27=50' 


61-30 ' 
28=30 ' 


60-48' 
29=12' 


60-4' 
29=56' 


59-18' 
30-42 ' 


58-30' 
31=30' 


57 '39' 
3221' 


56=46' 
33=14' 


55=51' 
34=9' 


54=52' 
35=8' 


20 


64^0' 
26°o' 


63-26' 
26-34' 


62=^51' 
27=9 ' 


62-14' 
27=46' 


61-37' 
28=23' 


60-57' 
29=3' 


6015' 
29=45' 


59 ■'32' 
30=28' 


58-47' 
31=13' 


58=0' 
32=0' 


57-10' 
32=50' 


56=19' 
33=41' 


55=24^ 
34=36' 


54=^8' 
35^32' 


53=28' 
36=32' 


21 


62^53' 
27'7' 


62-18' 
27-42' 


61-42' 
28''i8' 


61=4' 
28=56' 


60=25' 
29=35' 


59=45' 
30=15' 


592' 
3o"58' 


58-18' 
31=42' 


57-32' 
32=28' 


56=43' 
33=17' 


55=53' 

34=7' 


55=0 ' 
35=0' 


54=5' 
35=55' 


537' 
36=53' 


52=8' 
37=52' 


22 


61-47' 
28"i3' 


6i<'ll' 
28"49' 


60^-34- 

29'=26' 


59=56' 
30=4' 


59=15' 

30=45' 


58-34' 
31=26' 


57^51' 
32=9' 


57-6' 
32=54' 


56=19' 
33=41' 


55=29' 
34=31' 


54=38' 

35=22' 


53=45' 
36=15' 


52=49' 
37=11' 


51-50' 
38=10' 


50=49' 
39=11' 


23 


6o''42' 
29''i8' 


6o°6' 
29°54' 


59=28' 
30=32' 


58"49' 
31=11- 


58=8' 
31=52' 


57=25' 
32=35' 


5641' 
33=19' 


55=55' 

34=5' 


55=7' 
34=53' 


54"i8' 
35''42' 


53=26' 
36=34' 


52^31' 
37=29' 


51=35' 
38=25' 


50=36' 
39=24' 


49=34^ 
40=26' 


24 


59"39' 
3o°2i' 


59-2' 
30°5S' 


58=23' 
31=37' 


57-44' 
32=16' 


57=2' 
32=58' 


56-19' 

33=41' 


55=33' 
34^27' 


54=47' 
35=13' 


53=58' 
36=2' 


53=8' 
36=52' 


52-15 ' 

37=45' 


51=20' 
38=40- 


50-23' 
39=37' 


49-24' 
40=36' 


48=22' 
4i''38' 


25 


55^38' 
31 22' 


58-0' 

32^0' 


57-20' 

32=40 ' 


56-40' 
33=20' 


55=57' 
34=3' 


55=13' 
34=47' 


54^28' 
35=32' 


53-40' 
36=20' 


5251' 

37=9' 


52-0' 
38=0' 


51=7' 
38=53' 


50=12' 

39=48' 


49-14' 
4o='46' 


48' '14' 
41=46' 


47=12' 
42=48' 


28 


57^37' 
32^23' 


56^58' 
332' 


56=19' 

33"4i' 


55"37' 
34"23' 


54^54' 
35=6' 


54=10' 
35=50' 


5324; 
36-36' 


52-36' 
37-24' 


5146' 

38=14' 


50=54' 
39=6' 


50-1' 
39=S9' 


49'5' 
40=55' 


48-7' 
41=53' 


47=7' 
42=53' 


46=5' 
43^55' 


27 


56^3^' 

33''22' 


55^59' 
34' I' 


55=18' 
34=42' 


54-36' 
35^24' 


53-53' 
36=7' 


53=7' 
36=53' 


52 21' 
37=39' 


51-33' 
38=27- 


50=43' 
39=17' 


49^51' 
40=9' 


48 '57' 
41=3' 


4S-0' 
42=0' 


47-3' 
42=57' 


46'-'2 ' 
43=58' 


45° 


28 


55"4o' 
34^20' 


55^0' 
SS-o' 


54=19' 
35=41' 


53=37' 
36=23' 


52=53' 
37=7' 


52=8' 
37=52' 


51=20' 
38=40' 


50=32' 
39=28' 


49=41' 
40=19' 


48°49' 
41=11 


47 '55' 
42=5' 


46=58' 
43=2' 


46°o ' 
44=0' 


45° 




29 


34'-'44' 
35''i6' 


54=3' 
35°57' 


53=22' 

36=38' 


52=39' 
37=21' 


51^55' 

38=5' 


51=9' 
38=51' 


5021' 

39=39' 


49-32' 
40=28' 


48=41' 
41=19' 


47^49' 
42"'! I ' 


46'54' 
43=6' 


45^58' 
44=2 ' 


45° 






30 


53''4a' 
36^12' 


53='7' 
36''53 ' 


52-26' 
37=34' 


51-42' 
38=18' 


50=58' 
39=2' 


50=12' 
39=48' 


49=24' 
40=36' 


48=35' 
41=25' 


47=43' 
42=17' 


46=51' 
43 '9' 


45^56' 
44=4' 


45° 






31 


52''54' 
37-6' 


52-^13- 
37°47' 


51=31' 
38=29' 


50=48' 
39=12- 


50^2' 
39=58' 


49=16' 
40=44' 


48=28' 
41=32' 


47=39' 
42-21' 


46=47' 
43=13' 


45=54' 
44=6' 


45° 






32 


52''2' 
37^58' 


5I-20' 

38^40' 


50=38' 
39=22' 


49^=54' 
40°6' 


49=9' 
40=51' 


48=22' 
41=38' 


47=34^' 
42=26' 


46-44' 
43"i6' 


45=53' 
44=7' 


45° 






33 


38''50' 


50^29' 
39°3i' 


49=46' 
40=14' 


49-2' 
40=58' 


48-16' 
41044' 


47=29' 
42=31' 


46=41' 
43=19' 


45=51' 
44=9' 


45= 






34 


50''2o' 
39"4o' 


4938' 
40^22 ' 


48=55' 
41=5' 


48"! 1' 
41=49' 


47''25' 
42=35' 


46=38' 
43=22' 


45=50' 
44=10' 


45= 




. 


35 


49^31' 
4o'-29' 


48^48' 

4I''I2' 


48=5' 
41=55' 


47-21 ' 
42°39' 


46=35' 
43=25' 


45^48' 
44=12' 


45= 






36 


48"43' 
41^17' 


48°o' 
42'^o ' 


47=17- 
42=43' 


46-33' 
43=27' 


45=47' 
44=13' 


45° 






37 


47^56' 
42^4' 


47=14' 
42''46' 


46=30' 
43°30' 


45"46' 
44=14' 


45° 






38 


47'io' 
42°50' 


46-28' 
43'32' 


45=45' 
44=15' 


45° 






39 


46^26' 
43^34' 


45=43' 
44'i7' 


45° 




For Bevel Gears with axes at right angles. 


40 


45''42' 
44'i8' 


45° 




Angle for gear above, for pinion below. 


41 


45= 







BROWN & SHARPE MFG. CO. 



79 



ANGLE OF EDGE. 

GEAR 





26 


25 


24 


23 


22 


21 


20 


19 


18 


17 


16 


15 


14 


13 


12 


12 


05-14' 
24^46' 


64-22' 
25^38' 


63^26' 
26"34' 


62-27' 
27^33' 


61-23' 

= ^"37' 


60-15' 
29^45' 


59 '2' 
3o'58' 


57^4' 
32°i6' 


56^19' 
33'4i' 


54'47' 
35'I3' 


537' 
36^53' 


51=20' 
38°40' 


4924' 
40=36' 


47-17' 
42=43' 


45° 


13 


6326' 
26'-'34' 


62'"3i' 
27-.>9' 


6l"33' 

2S"27' 


6o''3i' 

29'29' 


59 '-'5' 
30 "35' 


58^14'^ 
3i°46' 


5'i"58' 
33' 2' 


55"37' 
34'-23' 


54' io' 
35' 50' 


52^36' 
37"'24' 


50J54' 
39° 6' 


49^5' 
40=55' 


47-7' 
42=53' 


45" 




14 


61-42' 
28'iS' 


60^45' 
29^15' 


59^45' 
30"' 15' 


5b''4o' 
31^20' 


57'32' 

32"2S' 


56^19' 
33^41' 


550' 
33'o' 


53^37' 
36=23' 


52'8' 
37^52' 


50^32' 

39=28' 


48 =48' 
41=12' 


46-58' 
43=2' 


45° 






15 


Oo'l' 

20°>o' 


59 2 ' 
30^58' 


5b- 0' 
32"o' 


5'->'53' 
33'7' 


55^43' 
34"17' 


54''2S' 
35^32' 


537' 
3653' 


51-42' 
3S"iS' 


50-12' 
39=48' 


48-35' 
41=25' 


46^51' 
43'9' 


45° 






IS 


58^23' 
31^37' 


57"23' 
32'37' 


56' 19' 
33°4i' 


55'"' 
34^49' 


53^58' 
36-2' 


52-'42' 
37°i8' 


51-20' 
38 "40' 


49'54' 
4o''6' 


48-22'' 
41^38' 


46=44' 
43°i6' 


45° 






17 


56 '49' 
33"ii' 


55'-47' 
34"i3' 


54 '4 1' 
35''i9' 


53^^32' 
36 "28' 


52°iS' 

37"42' 


5130' 
39°o' 


49^38' 
40^22' 


48' 11' 
4i'^49' 


46-3S' 
43-22' 


45° 






18 


55'iS' 
34°42' 


54^15' 
35''4d' 


53"7' 
36 "53' 


5i''57' 
38^3' 


50-43' 
39''i7' 


49-^24' 
40°36' 


4&'-"o ' 

42°0 ' 


"45^^33' 
43^27' 


45° 






19 


53"5i ' 
3&'9 ' 


52-46' 
37"i4' 


5i''3S' 
38^22' 


50^^26 ' 
39''34 ' 


49-11' 
40^49' 


47''52' 
42''3' 


46''2S' 
43'32' 


45° 






20 


52 "'26 ' 
37°34' 


51-20 ' 
35^40' 


50"I2' 

39"48' 


48^59' 
4r''i ' 


47''43' 
42'i7' 


46-24' 
43°36' 


45' 






21 


5i"4' 
3&°56' 


49"5S' 
40° 2' 


48''4S' 
41^12' 


47''36' 
42^24' 


46-20' 
43°4o' 


45° 






22 


49^46' 
4o'^i4' 


4S"39' 
41^21' 


47^-29' 
42"3i' 


46^16' 
43°44' 


45° 






23 


48°30' 
4i°30' 


47^23' 
42"37' 


46''i3' 
43''47' 


45° 






24 


47°i7' 
42^43' 


46-10' 
43^50 ' 


45° 






25 


46^7' 
43°53' 


45° 






26 


45° 







For Bevel Gears with axes at right angles. 
Angle for gear above, for pinion below. 



8o 



BROWN & SHARPE MFG. CO. 



ANGLE OF FACE. 

GEAR 







72 


71 


70 


69 


68 


67 


66 


65 


64 


63 


62 


61 


60 


59 


58 


57 




12 


7°o3' 
78°59' 


8'^ 
78°50 


8-7' 
7S-39' 


8-'i4' 
78V 


S°2l' 

78°i9' 


8°28' 
78°io' 


8°35' 
77°59' 


8"43' 
77°47' 


8"5i' 
77°37' 


8-59' 
77 '25' 


9°?', 
77^13 


9-17' 
77=1' 


9^26' 
76°48' 


9=35' 
76=35' 


9'45' 
76=23' 


9°55' 
76=8' 




13 


8°4o 
7S°i2' 


8°48 


»-54' 
77''52' 


9'^'2' 

77^42' 


9"9' 
77°3i' 


9"i8' 
77^20' 


9°26' 
77°8' 


9°35' 
76°56' 


9°43' 
76°45' 


9-52' 
76°32' 


lo-i' 
76=19' 


10=11' 

76=7' 


10"21' 

75°53' 


10=31' 
75°39' 


10=42' 
75°26' 


io°53' 
75=11' 




14 


9°26' 
77°26' 


9^34' 
77°i6' 


9-42' 
77°4' 


9°5o' 
76°54' 


9"59' 
76"43' 


lo"8' 
76°30' 


io°i6' 
76°! 8' 


10-25 
76°7' 


10-35' 
75°33' 


io°43' 
73°4i' 


io°54' 
75-28' 


11=5 • 
75°i5' 


11-16' 
75° 


11-27' 
74=45' 


11-39' 
74°3i' 


11-50' 
74=14' 




15 


I0"l2' 

76°4o' 


I0'"2I' 

76°29' 


io"30' 
76^8' 


io°3S' 
76^6' 


io°47' 
75°55' 


io°57' 
73° 43' 


ii°6' 
73°3o' 


ii"i6' 
75°i6' 


11-27' 
75°3' 


11-37' 
74"49' 


11-47' 
74°35' 


ii°59' 
74=21' 


1 2=1 1 ' 

74=7' 


12-22' 
73=50' 


12=35' 
73=35' 


I2°4S' 

73=18' 




16 


io°59' 
75°35' 


n°7' 
75°43' 


75°3i' 


1 1 "26' 
75°2o' 


ii°37' 
75°7' 


ii°46' 

74°54' 


I] "56' 
74"4o' 


I2°7' 

74-27' 


12-17' 
74°i3' 


12-29' 
73°59' 


12-40' 
73°44' 


17^2' 

73''2&' 


13=5' 
73° 13' 


13-18' 
72°56' 


13=30' 
72-40' 


13=45' 
72=23' 




17 


li°44' 
75°io' 


ii°54' 

74°58 


I2°4' 

74°46' 


I2°I3' 

74°33' 


I2°24' 

74°2o' 


I2°34' 
74°5' 


I2°46' 
73°52' 


12-56' 
73°38' 


I3°7' 
73°23' 


13-21' 
73°9' 


13°32' 
72-52' 


13=45' 
72=35' 


13=39' 
72-21' 


14-11' 
72°3' 


14-20' 
71=45' 


14-40' 
71-28' 




18 


I2°29' 

74°25' 


I2"40' 

74"i2' 


i2°50' 

74" 


13° 
73°46' 


I3°I2' 

73^32' 


13"23' 
73°i9' 


13"34' 
73°4' 


i3°47' 
72°49' 


i3°39' 
72°33' 


14-12' 
72°iS' 


14-24' 

72°2' 


14-38' 
71=44' 


14=32' 
71=28' 


15=6' 
71-10' 


15'2I' 

70=51' 


15=36' 
70=34' 




19 


I3°i4' 
73°4o' 


13°25' 

73°27' 


i3''36' 
73°i4' 


i3''48' 
73° 


14^ 

72°46' 


i4"ii' 
72"3i' 


14 "24' 
72°i6 


14-36' 

72- 


14-49' 
7i°45' 


15=2' 

71 "28' 


I3°i5' 
71-11' 


15=30' 
70=54' 


15=44' 
70=30' 


15=59' 
70-17' 


16-15- 
69°59' 


16=31' 
69°39' 




20 


I3°59' 
72°57' 


I4°ii' 

72°43' 


14-23' 

72°29' 


I4'34' 

72°I4' 


I4°46' 

72° 


7i°45' 


i5"ii' 
7i°29' 


I5°25' 
71-13' 


13-39' 
7o°36' 


15=52' 

7o°3S' 


ifa-7' 

70"2l' 


I6°2I' 

7o°3' 


it.=37' 
69=45' 


16=53' 
69=25' 


17-8 ' 
69=6 ' 


17-26' 
68=46' 




21 


I4°43' 
72°i3' 


14^55' 
7i''59' 


I5"8' 
7i°44' 


I5°2I' 

7i°29' 


i5°33' 
7i°i3' 


15°46' 
7o°58' 


i5"39' 
7o°4i' 


16-13' 
7o°23' 


16-28' 
7o°8' 


i6°42' 
69°50' 


16-58' 
69°32' 


17-13' 
69°! 3' 


17=28' 
68=54' 


17=45' 
68=34' 


18=2 ' 
68=14' 


lS°20' 
67=52' 




22 


I5°27' 
7i'=29' 


i3°4o' 
7i"i4' 


I5"53' 
70°59' 


7o''44' 


l6"20' 

7o°28' 


iiJ°33' 
70° 1 1' 


i6°47' 
69°55' 


17-2' 
69V 


17-16' 


17-31' 
69°!' 


17-49 
68°43' 


18-3'^ 
68=23' 


18=20' 
68=4' 


18=37' 
67=43' 


18=56' 
67=22' 


19=13' 
67=1' 




23 


l6'^I2' 

7o°46' 


i6°24' 
7o°3o' 


i6>' 
70" 1 6' 


i6°5i' 
69°59' 


i7"5' 
69"43' 


17-20' 
69°26' 


i7°34' 
69° 3' 


17-50' 
68°5o' 


ib°5' 
68"33' 


l8'-20' 

68°i4' 


ib-36' 
67°54' 


18=54' 
67=34 


19-10' 
67°i4' 


19=28' 
66=52' 


19-48' 
66=32' 


20-5' 

66=9' 




24 


16^55' 
70 °3' 


i7°9' 
69°47' 


17"22' 

69°32' 


17^37' 
69" 1 5' 


i7°5i' 
6S°59' 


i8"6' 
68°4o' 


l8"2l' 

6S°23' 


i8"37' 
6&"5' 


i8°53' 
67°45' 


19-9' 
67 -'27' 


19-26' 
67°6' 


19"^ 
C6'46' 


20'I' 

66=25' 


20^19' 
66=3' 


20-39' 
65=41' 


20=58' 
65=18' 




25 


I7"39' 
69°2i' 


17-52' 
69°4' 


lb°6' 
68°48' 
i8"5i' 
68°5' 


IS"2I' 

68°3i' 
iy°6' 
67=48' 


iS°36' 
68°i4' 

I9°22' 

67°3o' 


i8"52' 
67''56: 
I9°37' 
67"i3' 


>9"7' 
67°37' 
i9°33' 
66°53' 


19-24' 
67°i8' 


19-40' 
67° 


19°57' 
66°39' 


20-14' 
66°20' 


20=32' 
65°58' 


20-51' 
65°37' 


21-10' 
65°i4' 


21-29' 
64°5i' 


21=50' 

64=28' 


g 


26 


l8°2l' 

68°39' 


l8°3b' 
68°22' 


20-10' 

66°34' 


20-26' 
66 "^14' 


2o°45' 
63°53' 


^1*2' 
65°32' 


21-21' 
65=11' 


21-41' 
64=49' 


22° 

64=26' 


22-20' 
64=2' 


22°41' 

63=39' 


Q. 


27 


I9"3' 
67'57' 


I9°i9' 
67 "39 


i9°o4' 

67°22' 


i9°49' 
67°5' 


2o''6' 

66^46' 


20"22' 

66°28' 


20°38' 
66°8' 


20-56' 
65°48' 


21°l3' 

65°29' 


21-32' 

65°8' 


21-50' 
64=46' 


22-10' 22 29' 
64-24' 64=1' 


22=49' 

63°39' 


23-10' 
63=14' 


23=31' 
62=49' 




28 


I9°46' 

67" i6' 


20"I' 

65°59' 


20"I7' 

66''4i' 


20''32 ' 
66°22' 


20"oO' 

66°4' 


21%' 
65°44' 


21-23' 

65'25' 


21-41' 
65°5' 


22- 

64"44 


22-1 b' 
64-22' 


22°37' 

64-1' 


22-56'! 23=17' 
63=381 63=15' 


23=38' 
62=52' 


23=59' 
62-27' 


24-21' 

62=1' 




29 


20':i7' 

66^35' 


20^^43' 
66°i7' 


20-59' 
65° 59' 


21°l5' 

65 V 


2i°33' 
65°2i' 
22^15' 
64°39' 


21"50' 

65°2' 


22-S' 
64°42' 


22-27' 
64-21' 


22-45' 
63°59' 


2o-3' 
63°37' 


23^25' 

63°t5' 


23=44' 
62=52' 


24=4' 
62=28' 


24=25' 
62=5' 


24-48' 
61=40' 


25-10' 
61=14' 




30 


2l"9' 

65°55' 


2I'^25' 

65°37' 


2l''42' 


2i"58' 
64°5S' 


22 '-34' 
64°i8' 


22°52' 

63°5S' 


23-10' 
63°38' 


23°30' 
63-16' 


23°0C'' 

62°54' 


24-10' 
62=30' 


24=30' 
62=7' 


24=51' 
61=43' 


25-12' 

61=18' 


25=36' 
60=54- 


25=39' 

60=27' 




31 


2I"50' 

65° 1 4' 


22°6' 

64°56' 


22°24' 

64°36' 


22°4I' 

64°i7' 


22°59' 

63^57' 


23" 1 7' 
63°37' 


23°35' 
63° 1 5' 


23°55' 
62°55' 


24-14' 

62°32' 


24°34' 
62"io' 


24°54' 
61=46' 


25=17'! 25=38' 
61-23' 60=58' 


25"5S' 
6o°34 


26=22' 
60=8' 


26=46' 
59°42' 




32 


22^31' 
64°35' 


22°4S' 

64"i6' 


23-4' 
63^56' 


23"23' 


23^40' 
63^16' 


23"39' 
62°55' 


24°ib' 
62°34' 


24-38'^ 
62-12' 


24"58'^ 
6l°5o' 


25-18' 

6i°26' 


25^39' 
61=3' 


26-1' 26 '23' 
60=39'! 60=15' 


26-45' 
59°49' 


27-9' 
39°23' 


27 '■34' 
58°56' 




33 


23<'IO' 

63°56' 


23-28' 
63^36' 


23°46' 
63°i6' 


24"4' 
62°56' 


24^^22' 
62°36' 


24°4i' 
62°i5' 


25-1' 
6i°53' 


25-21' 
6i°3i 


25-42' 
6i°3' 


26-2' 
60 "4 ^' 


26 -'24'^ 
60=20 


26-45'! ^'°^' 
59°55'| 59°3i' 


27=31' 
59=5' 


27=56 
58=38' 


28-19' 
58=11' 




34 


23°5i' 
63°! 7' 


24^6' 
52°5S' 


24-^^27' 
62 "37' 


24°44' 
62"i6' 


25°4' 
6i°55' 


25°23' 

6i°33' 


25-42' 

6l°I2' 


26-3'^ 
60-49' 


26-24' 
6o"26' 


26-46' 
60-2' 


27-7' 
39°37' 


27-29' 
59°i3' 


27=52; 
58=48 


2b°i6' 
58-22' 


28=40' 
57=54' 


2y=5' 
57=27' 




35 


24°29' 

62V 


24°48' 
62°iS' 


25-'6' 
6i°58' 


25^25' 
6i°37' 


25"44' 
6i°i6' 


2GJ'4' 
6o°54' 


26-24' 
,6o°32' 


26-45' 
6o°9' 


27-b^ 
59"44' 


27°2b' 
59°22' 


27-50' 
5ii°5^' 


28=13' 
583'' 


28=36' 
58=6' 


29-1 ' 
57°39' 


29^25' 
57=11' 


2950' 
5644' 




36 


25-9' 
62"!' 


25027' 
6i°4i' 


25^45' 

6l°20' 


26°5'^ 
6o°59' 


26^24' 
6o°36' 


26^45' 
6o°i5' 


27°5' 
59°3'' 


27-26' 
59°28' 


27-46' 
59°4' 


2b-10' 
58-40' 


2S-33' 

58=15' 


2b°56' 
57=50' 


29-20' 
57 '24' 


29=43' 
56°57' 


30=9' 
36°29 


30=35' 
56=1' 




37 


25"47' 
6i°23' 


26^6' 

6l°2' 


26''25' 

6o°4i' 


26-44' 
60 20' 


27 °4' 
59^58' 


27^25 
59°35' 


27-45' 
59°i3' 


28-7' 
58°49' 


28-29' 
58"25' 


28-'5l' 
58-1' 


29-15' 
57°35' 


29-38' 
57°' 0' 


30-2' 
56=42' 


30-27' 
56=15' 


30-52' 
55°48' 


31-18' 
55°20' 




38 


26"25' 

6o°47' 


26°44' 
6o°26' 


27"4' 
6o°4' 


27 '24' 
59°42' 


27°44' 
59° 20' 


28°4' 
5S°36' 


28°26' 

58°34' 


28-47' 
58°9' 


29°9' 
57°45' 


29"33' 
57°2i' 


29°55' 
56°55' 


30=20' 
56=30' 


30=44' 
56°2' 


3i'-9' 
55=35' 


31=35' 
55=7' 


32=1' 

54=39' 




39 


6o"9' 


27°22' 

59°4S' 


27"42'^ 

59"28 


28^2' 

59°4' 


28 '•'22' 
5&"42' 


28"43' 
5S°i9' 


29°5' 
57°53' 


29-27' 
57-31' 


29-49' 
57°7' 


3'-'-i3' 
56°4i' 


30''3&' 
56°i6' 


31=1' 
55°49' 


31-20' 

55=22' 


31-0O' 
54=54' 


32-16' 
54=28' 


32=43' 
53=57' 




40 


27-40' 
59^34' 


28 "2' 
59° 1 4' 


28°2u' 

58"5o' 


28''4l' 

58"27' 


29° I' 
58°5' 


2y'^2' 

57°42' 


29°43' 
57°i7' 


30-6' 
56°54' 


30 -its' 
5628' 


30=52' 
56^2' 


31-17' 
55 •'37' 


31=42' 
53' 'o' 


32-0' 

54=44'' 


32=31' 
54=15' 


32=57' 
53=46' 


33=24' 

34°6' 
52=38' 




41 


28''i7' 
58^57' 


28-37' 
,58°37' 


2b"57' 
58"l5' 


2y"l8' 
57°52' 


29°39' 
57°29' 


30-1 ' 
57°4' 


30-22' 
56°4o' 


3<^'45' 
56°i5' 


31-J' 
55°3i' 


3i°3i' 
55°-5' 


31=55' 

54=59' 


32-20' 

54=32' 


32-46' 
54°4' 


33=12' 
.S3°36' 


33=39' 
53=7' 




42 


2S"32' 
58''22' 


29°I2' 
58^1' 


57°39' 


2y"55' 
57"i5' 


3o°i&' 
56"52' 


3"'''38' 
S6°28' 


31° , 
564' 


3i»23' 
55°39' 


31-47' 
55°i3' 


32-iu' 
54^48' 


32-35' 

54°2l' 


33 = 
53=54' 


33=26' 
53°26' 


33°52' 
52=58' 


34-19' 

52°29' 


34'-46' 
52" 



For Bevel Gears with axes at right angles. 
Angle for gear above, for pinion below. 



BROWN & SHARPE MFG. CO. 



8l 



ANGLE OF FACE. 

GEAR 





53 


55 


54 


53 


52 


51 


50 


49 


48 


47 


46 


45 


44 i 43 


42 


12 


lo"6' 
75 5-1' 


7540' 


10' 28' 
7524' 


1039' 

75=9' 


1052' 
74 52'- 


11 3' 
74 37' 


iri5' 
74'i5' 


ji 30' 

73°58' 


II '43' 1158' 
73"39' 73"20' 


12 13' 
7259' 


12 29' 
7237' 


1245' 131' 
7215' 7151' 


13 19 
71=25' 


13 


ii'4' 
74^56' 


11 10' 
74^40' 


11 2S' 
74' 24' 


11-42' 
74-3' 


II 54' 
7350' 


128' 
73=32' 


12' 20' 

73'i2' 


12=37' 
72=53' 


12 '51' 
7233' 


i3'7' 
72 11' 


13 -'3' 

71 49' 


1340' 
71 26 


1358' 
71 2' 


'i4"i6='" 
70= ',8' 


14=35' 
70=11' 


14 


12"2' 

73"5S' 


1216' 
73^42' 


12 29' 
73"25' 


1243' 

73"' 7' 


12 57' 
72"4S/ 


13=11' 

72'^29' 


13=26' 
72=8' 


1342' 


1359' 
71-27' 


14 15' 
7i'5' 


1433' 
7041' 


14=51 ' 

7017' 


15 10' 
69=52' 


15=30' 
69= 26' 


15-51' 
68=59' 


15 


1 3-1' 
73'!' 


13 16' 
72'44' 


13-28' 

72'^26' 


13-43' 
72°7' 


13=59' 
71=49' 


14='14' 
7r28' 


14=30' 

71-6' 


14=47' 
70=45' 


155' 
70=23' 


1523' 
6959' 


15^42' 
6934' 


16' 1' 
695 ' 


16 22' 
68'42' 


1643' 
68=15' 


17=5' 
67=47' 


16 


13 09' 
72'5' 


14 13' 
7i'47' 


14=28' 

71=28' 


14=44 
71^8' 


15=1' 
70=49' 


15=17' 
70=27' 


1 5 '55' 
70°5' 


15=52' 
69=42' 


16=11' 
69=19' 


16- iO' 
68=54' 


16=50' 
68°28- 


17 10' 

68= 2 ' 


1732' 
67^34' 


1756' 
67=6' 


18=18' 
66=36' 


17 


i4'o7' 
71=9' 


15=11' 
7049' 


I5-2S' 

70=30' 


I5"44 
70'' 10 


i6=i' 
69'49' 


16-18' 
69 =26' 


16=37' 
69=3' 


1655' 
68=39' 


17=15' 
68=15' 


1736' 
67=50' 


1757' 
67=23' 


18 '20' 

66=54' 


18=43' 
66"27' 


196 ' 
65=58' 


19=31' 
65=27' 


18 


i5'-52' 
70' 14' 


16 7' 
69'53' 


16-26' 
6934' 


16-42' 
69= 1 2 


17'!' 

68°49' 


17=20' 
68^^26' 


17=39' 
68 °3' 


1 7 -58' 
67\3S' 


iS-20' 
67=12' 


18=41' 
66=47 


19=3' 
66=19' 


19 27' 
6551' 


19-50' 
65°20' 


20=lS' 

6450' 


20-42- 
64=18 


19 


i6'-49' 
69^19' 


17=2' 
6S"5S' 


17=23' 

6S°37' 


17=41 
68=15' 


18= 
67"52' 


18=21' 
67=29' 


i8°40' 
67=4' 


19=1' 
6637' 


19' 22' 
66°I2' 


19=46' 
65=44 


20=8' 
6s°i6' 


20' ■34' 
64-46' 


20=59' 
64=15' 


21=24' 

63°44' 


21=52' 
63=10' 
23= 
62=4' 


20 


i7'^44' 
68^26' 


iS-i' 
68'-'3 ' 


iS'^'ig' 
67=41' 


iS 40' 
67=18' 


19° 
66=54' 


19=20' 
66=30' 


19-41' 
66=5' 


20=2 ' 
65^38' 


20=25' 
65=11' 


20=49' 
64°43' 


21=13' 
64=13' 


21=39' 
63°43' 


22=5' 
63=11' 


22^32' 

62'38' 


21 


iS^'39' 
67 °3i' 


iS=57' 
67=9' 


I9"i6 ' 
66 ""46' 


19=37' 
66=23' 


19=58' 
65^58' 


20019' 
65=33' 


20-41' 
65°7' 


21=3' 

64=39' 


21=27' 
64= 1 1' 


21-52' 
63=42' 


22-17' 
63°i3' 


22'43' 

62 41' 


23=10' 

62°S' 


23''3S' 
6i'°34' 


24=8 ' 
61° 


22 


i9';32' 
66'3S' 


19=52' 
66°i6' 


20-12' 

65"52' 


20=33' 
65=27' 


20=55' 
65^3' 


21=17' 
64°37' 


21=40' 
64=10' 


22=3' 
63=41' 


22=17' 

63°! 3' 


22=53' 

62=43' 


23=19' 
62=11' 


23=46' 
6i°40' 


24=15- 
61=7 • 


24=44' 
60=32' 


25=14- 
59°56' 


23 


20=25' 
S5''47' 


20-^.47' 
65^23' 


2rS' 

64°5S' 


2r29' 
64"33' 


21-52' 

64=8' 


22=13 
63=41' 


22=37' 

63°! 3' 


23=2' 
62=44' 


23=27' 
62=15' 


23=54' 
61=44' 


24=21' 
61=13' 


24:49' 
60=41' 


25=18- 

60 6' 


25-47' 
5931' 


26-18' 
58°d4' 


24 


21=19' 
64"55j 


21=39' 
64'^3i' 


22=1' 

64°5' 


22^24' 
63=40' 


22 46' 
63=14' 


23=10' 
62 46' 


23=36' 

62=19' 


24 = 
61=48' 


24=26' 
6i=iS' 


24=53' 
60=47' 


25=21' 
60=15' 


25=49' 
59^41^ 


26=20' 
59'6' 


2651' 
58°3i' 


27=23' 
57=53' 


25 


22'-II' 
64^5' 


22=33' 

63 '-39' 


22=56' 
63=14' 


23=18' 
62^48' 


23=41' 
62=21' 


24=7' 
61=53' 


24=32' 
61=24' 


24=57' 
60=53' 


25=24' 
60=22' 


25=52' 
59=50' 


26=20' 
59'iS' 


26=50' 
58=44- 


27=21' 
589' 


27=52' 
57'=32' 


28=26' 
56°54' 


2S 


23-3' 

63'i5' 


23=25' 
62^^49' 


23'-'47' 
62=23' 


24=13' 
61=56' 


24^36' 
61=28' 


25=1' 
60=59' 


25= 2S' 
60=30' 


25-53' 
59'59' 


26=21' 
59''27' 


26-49' 
58°5'S' 


27=19' 
58=21' 


27=49' 
57°47' 


28=21' 
57°"' 


28=54' 
56°34' 


29-27' 
55°55- 


27 


2353' 
62" 25' 


24=16' 
6i°5S' 


24=40' 
61=32' 


25=5' 

61=5' 


25=29' 
60=37' 


2555; 
60=7' 


2622' 

597,8' 


26=48' 
59'5' 


27-17' 
58°33' 


27=46' 

58^ 


28=16' 
57^26' 


28=47' 
56=51' 


29=19' 
56=15' 


29=52' 
55"33' 


30=2/ 
54-59' 


28 


24-44' 
61=36' 


25-7 ' 
6f'9' 


2531' 
6o°43' 


25"5'5' 
60=14' 


26=22' 
59^46' 


26=48' 
59' 1 6' 


27=15' 
58°45' 


27=43' 
58'i3' 


28=12' 

57"42' 


28='42' 

578' 


29=12' 
56=32' 


29-43' 

55°57' 


30=16' 
55° 20' 


30=50' 

54°42' 


31=25' 
54=3' 


29 


25-33' 
60=47' 


25'57' 
6o='2r 


26 "2 2' 
59''52' 


26=47' 
59°25' 


27=14' 
58 56' 


27=40' 
58=26' 


2S-8' 
57'54' 


28=36' 

57=22' 


29^5' 
56=49' 


29-37' 

56''i5' 


308' 
5540' 


30-40' 
554' 


31=13' 
54=27- 


31=48' 
53"4S' 


32=23' 
53°9' 


30 


26=22' 
60° 


26=47' 
59''33' 


27=12' 
59°6' 


27=38' 
58=36' 


28"4' 
58'-6' 


28=32' 
57^36' 


29= 
57=4' 


29=28' 
56 > 


29=58' 
55°58' 


30=30' 
5524' 


31=2' 

54=48' 


31=34- 
54=12' 


32=8' 
53=34' 


32M4' 
52^54' 


33=19' 
52=15' 


31 


27''IO' 

59°i4' 


27=34' 
58=46' 


28=3' 
5S'i5' 


28-27' 
57=49' 


28-54' 
57=iS' 


29=23' 
56=47' 


29-51' 
56'"i5' 


30=20' 
55=42' 


30=52' 
558' 


31=22' 

54=34' 


31=55' 
53=57' 


32=29' 
53=21' 


33-2' 
52=42' 


3339- 
523' 


34=15' 
51=23' 


32 


27-5S' 
58''28' 


28 -23' 
57° 59' 


28=49' 
57'3i- 


29^17' 
57'' I' 


29=33' 
56=41' 


30=12' 
56= 


30=42' 
55=28- 


31=10' 
54=54' 


31=42' 
54=20' 


32=14' 
53'44' 


32=46' 
53=8' 


33=21' 
52=31' 


33=56' 
5i°52' 


34' 31' 
5i°i5' 


35=^' 
50=32' 


33 


28=45' 
57°43' 


29=10' 
57°i4' 


29-37' 
56=45' 


30^5' 
56=15' 


3032' 
55'''49' 


31=1' 
55=13' 


31=31' 
54-39' 


32=1' 
54=5' 


32=32' 
53°32' 


33=4 ' 
52°56' 


33=38' 
5220' 


34=12' 
51=42' 


3447' 
51=3' 


35=24' 
50=22' 


36" 
49=41' 


34 


29=31' 
56°59' 


29=57' 
56°29- 


30=24 
56° 


30=51' 
55=29' 


31=20- 
54°58' 


31=49' 
54"'27' 


32^19' 
53 53' 


32=50' 
53° 20' 


33=22' 

52"44' 


33=54' 
52=8' 


34=28' 
51=32' 


35°6' 
50=50' 


35°38' 
50=14' 


36=15' 
49°35' 


36''53' 
48=53' 


35 


3'^°i5' 
56°! 5' 


30=42' 
55°46' 


31=10' 


31=38' 
54=44' 


32=7' 
54=13' 


32=36' 
53=40' 


337' 
53^7' 


33=3»' 
52^34' 


34=10' 
5i°5S' 


34=42' 
51=22' 


35=17' 
50=45' 


35=51' 
50=7' 


36=27' 
49°27' 


37-5' 
48=4/ 


37=42' 
48=6' 


33 


31" 


31=27' 
55°3' 


31=55' 

54 33' 


32=23' 
54=1' 


32=53' 
53=28' 


33=23- 
52°57' 


33-53' 
52-23' 


34-^25' 
51=40' 


34=57' 
5i''i3' 


35=31' 
50-37' 


36=5' 
49° 59' 


36=41' 
49=21' 


37=16' 

48=42' 


37=53' 
48=1' 


38^32' 
47=20' 


37 


3i'-45' 
54'^49' 


32=12' 
54° 20' 


32=40' 
53"50' 


33'-8' 
53=18' 


33°3S' 
52=46' 


34=9' 
52=13' 


34=40- 
51=40' 


35-'i2' 
51=4' 


35=43' 
50=29' 


36=18' 
49°52' 


36^51' 
49=15' 


37=27' 
48=37' 


38°4' 
47'-'56' 


38=42' 
47°i6' 


39=20' 
46'=34' 


38 


32-27 ' 
54° 9' 


32=56' 
53°38' 


33=24' 
53^8' 


33=52' 
52=38- 


34=22' 

52^4' 


34=54' 
51=30' 


35=24' 
5o'56' 


35=57' 
50=21' 


36=29' 
49°45' 


37=3' 
49=9 ' 


37^38' 

48=32' 


38=14' 
47=52 ' 


38-'5i' 
47=13' 


39°28' 
46 ■32' 


40=7' 
45=51' 


33 


33=10 ' 
53=28' 


33-39' 
52°57' 


34=7 ' 
52=27' 


34=36' 
51=54' 


35=7- 
51=21' 


35'37' 
50=49' 


36=9' 
5015' 


3641' 
49''39' 


37 15' 
49^3' 


37°48' 
48 ''26' 


38-24' 
47=48' 


39= 
47=10' 


39°36- 
46=30' 


40-13' 
45°49' 


40=53' 

45°7' 


40 


33-52' 
52=48' 


34=21' 
52=17' 


34=50' 
51 '46' 


35=iS' 
5i°i4' 


35=49' 
50=41' 


36=20' 

50=8' 


36=53' 
4933' 


37=25' 
48°57' 


37°5S' 
48=22' 


38°33' 
47=45' 


3SJ=S' 
47=6 ' 


39=44' 
46=28' 


40-20' 

45'48' 


40'-'58' 
45^8' 


4i'37' 
44"25' 


41 


34=33' 
52=9' 


35=3' 
5i°37' 


35=3 f 
5i'7' 


36=1' 
50=33' 


"35^=31- 
50 I' 


37=3 ' 
49=27' 


37=35' 
48°53' 


38=7' 
48=17' 


38"4i' 
47=41' 


39 16' 
47"4' 


39=51' 
46=25' 


40=27' 
45°47' 


41=5' 
45=7' 


41=42- 
44=25' 


41=22' 
43'"44' 


42 


35"i4' 
5i°30' 


35' 43' 
5o°59' 


36=12' 
5o'2S' 


36=42' 
49-54' 


37=13' 

49°2I' 


37=44' 
48=48' 


38-17' 
48'i3' 


38=49' 
47°37' 


39=23' 

47=1' 


39=58' 
46=24' 


40=34' 
45°46' 


41=9' 
4'^°7 ' 


41=47' 
44=27' 


42=26' 
43=46' 


43^4' 



For Bevel Gears with 
Angle for gear above, 



axes at right angles 
for pinion below. 



82 



BROWN & SHARPE MFG. CO. 



ANGLE OF FACE. 

GEAR 





41 


40 


39 


38 


37 


36 


35 


34 


33 


32 


31 


30 


29 


28 


27 


12 


70"59' 


i3°57' 
70°33' 


14=18' 
7o''6' 


14=39' 

69°35' 


15-1' 
69-5' 


15-24' 
68=32' 


15-49' 
67-59' 


i6°i5' 
67-23' 


16-43' 
66-45' 


17-13' 
66-5' 


17-43' 
65''23' 


18=15' 
64-39' 


18=51' 
63-53' 


19-27' 
63°3' 


20-5' 
62°9' 


13 


I4°55' 
69°45' 


15=17' 
69^15' 


I5°39' 
58=47' 


16=1 ' 
68=15' 


16=25' 
67-43' 


16=51' 
67=9' 


17=19' 
66-33' 


17-46' 
65-56' 


1 8^1 6' 
65-16' 


18=48' 
64-34' 


19=21- 
63-51' 


i9'57' 
63-5' 


20=32' 
62-14' 


2l"ll' 
61=23' 


21=54' 
60-28' 


14 


68°3l' 


16 "34' 
68=0 ' 


16=59' 
67=29' 


i7'-24' 
66°56' 


17-50' 
66=22' 


18=17' 
65-47' 


18=45' 
65-9' 


19=16' 
64=30' 


19-48' 
63-48' 


20 20' 
63-6' 


20-56; 

62°20' 


21=34' 
61-32' 


22=13' 

60=41' 


22=55' 

59-47' 


23-38' 
58-50' 


15 


17-28' 
67°i6' 


17=33' 
66^45' 


I8''i8' 
66°I4' 


18=44' 
65'=;vo' 


I 9-1 I' 

65-3' 


19=40' 
64=26' 


20=11' 

63-49' 


20-44' 
63=8' 


21-18' 
62=24' 


21=53' 
6i°39' 


22-31 ' 

60-51' 


23=10' 

6o°2' 


23-51 ' 

59-9' 


24-35' 
58-13' 


25=20' 
57°I4' 


16 


18=42' 
66°4' 


I9'=9 ' 
65°33' 


i9"35' 
64"59' 


20=3' 

64°23' 


20=32' 
63-46' 


21=3' 

63-7' 


21=36' 
62=28' 


22=9 ' 
61-45' 


2-2=45' 

61=01' 


23=22' 
60° 1 4' 


24=1- 

59-25' 


24=42' 
58-34' 


25-26' 
57-40' 


26=12' 

56=42' 


27=1' 

55-43' 


17 


1^56' 
64°54' 


20=24' 
64=20' 


20-51' 
63^45' 


2r-2i' 

63=9' 


21-53 ' 
62-31' 


22 24' 
61=50' 


22=57' 

6i°9 ' 


23=33' 
60=25' 


24-10' 

59-40' 


24=50' 

58°52' 


25=31' 
58-1' 


26=14' 
57°io' 


27-59' 
56-13' 


27=47' 

55° 15' 


28=37' 
54-13' 


18 


2I°9' 

63°45' 


2i='37' 
62^9' 


22=6' 
62^34' 


22=38' 
61=56' 


23-9' 
61=17' 


23'43' 
60-35' 


24=18' 
59-52' 


24^56 
59-8' 


25-34' 
58=20' 


26=15' 

57-31' 


26-57' 
56-39' 


27=42' 
55-46' 


28=29' 
54°49' 


29=I»' 

53-50' 


30-9' 
52-47' 


19 


22^20' 
62°36' 


22-49' 

62=1' 


23=20' 
61=24' 


23-52' 

60=44' 


24-26 ' 
60-4' 


25=1' 
59-21' 


25-37' 
58-37- 


26=15' 
57-51' 


26-56' 
57-4' 


27=38' 
56-14' 


28=22' 

55°22' 


29=8' 
54-26' 


29-56' 
53-28' 


30=43' 
52-28' 


31-40' 
51-24' 


20 


23^30' 
6l''3o' 


24"I' 

6o"53' 


24-'32' 

6o'=i4' 


25=6' 
59'-34' 


25-40- 
58-54' 


26=16' 
58-10' 


26=55' 
57 -25' 


27-34 ' 
56-38' 


28=15' 
55°49' 


28=58' 
54-5S' 


29-44' 
54-4' 


30=31' 
53°9' 


31=21' 
52-9' 


32=13' 
51-9 ' 


33-8' 
50-4' 


21 


24039' 
60^25' 


25=10' 
59°46' 


25=43' 
59' 7' 


26=18' 
58^26' 


26=53' 

57°43' 


27030' 
57°°' 


28=10' 
56-14' 


28=50 ' 
55-26' 


29=32' 
54-36' 


30=17' 
53-43' 


31-4' 
52-50' 


31-52' 
51-52' 


32-43' 
30-53' 


33-36' 
49°50 ' 


34-31' 
48=47' 


22 


25-^46' 
59^20' 


26=19' 
58=41' 


26=53' 

58^' 


27=27' 
57-19' 


28=5' 
56-35' 


28=43' 
55°5i' 


29=22' 
55°4' 


30-5 ' 

54-17' 


30=48' 
53-26' 


31-34' 
52-32' 


32=22' 
51-38' 


33=11' 
50-41' 


34°3' 
49-41' 


34=57' 
48-37' 


35-54' 
47-32' 


23 


26°52' 

58°i6' 


27^6' 
57^38' 


28-0' 
56-56' 


28=36' 
56-14' 


29=14' 
55-30 ' 


29=53' 
54-43' 


3o°35' 

53°57' 


31=18' 

53°8' 


32=1' 
52-15' 


32-48' 
51=2^' 


33-36' 
50=28' 


34-27' 
49-29' 


35°2o' 
48-30' 


36-15' 

47-27 ' 


37-12' 
46-20' 


24 


27°57' 
57''i5' 


28"3i' 
56°35' 


29=7' 
55"53' 


29=43' 
55-11' 


30=22' 

54°26' 


31-2' 
53-40' 


31-45' 
52-51 ' 


32-28' 
52-2' 


33-14' 
51=10' 


34-1 ' 
50-5' 


34-50' 

49=20' 


35-42' 

48=22 ' 


36-35' 
47=21' 


37-30' 
46-18' 


38-28' 
45-12' 


25 


28^59' 


29"34' 
55"34' 


30=12' 
54"52' 


30-49' 
54°9' 


31=29' 
53-23' 


32=10' 
52-36' 


32-52' 
5i°48' 


33°37 ' 
50=57' 


34=23' 
50°5' 


35-11 
49=11' 


36=0' 

48-14' 


36-52' 
47=16' 


37-47 ' 
46-15' 


38-43' 
45-11' 


39-41' 
44-5' 


26 


30- r 
55°i5' 


3038' 
54^34' 


31" 14' 
53°52' 


3i°54' 
53°8' 


32=34' 
52=22' 


33-15' 
51-35' 


33-58' 
50-46' 


34°45' 
49-55' 


35-31' 
49°3' 


36=19' 
48=7' 


77-10' 

47=12' 


38=2' 
46°: 2' 


38-56' 
45-10' 


39°53' 

44°7' 


40-52' 
43-2' 


27 


3i"3' 
54"i9' 


3i°39' 
53"37' 


32=18' 
52"54' 


32''57' 
52"9' 


33=37' 
51-23' 


34-20' 
50-34' 


35-3' 
49-45' 


35=49' 
48-55' 


36-36' 
48=2' 


37=25' 
47-7' 


38-16' 
46°io' 


39-10' 
45=10' 


40=4 ' 
44=10' 


41-I' 
43°5' 


42- 


28 


32^2' 
53^22' 


32"39' 
52"39' 


33 '18' 
5i'56' 


33"57' 
51=11' 


34=39' 
50-25 ' 


35°2X' 
49°3i' 


35-7' 
48-47' 


36-52; 
47-56 


37=40' 
47-2' 


38-29' 
46-7' 


39=21' 
45°ii' 


40-15' 
44-11' 


41=9' 
43-9' 


42-7' 




29 


32=59' 
52=27' 


33 33' 
51=44' 


34'i7' 
51=1' 


34=58' 
50=16' 


35°39' 
49-29' 


36=23' 
48-41- 


37-8' 
47-50' 


37=54' 
46-58' 


38-42' 
46-4' 


39=32' 
45-10' 


40-24' 
44=12' 


41=18' 
43-14' 


42-13' 






30 


33"57' 
5i°33' 


34=36' 
50°50' 


3515' 
50'7' 


35=56' 
49=20 ' 


36-38' 

48-34 ' 


37=21- 
47-45' 


38-7' 
4655' 


38-53' 
46-3' 


39=43' 
45°9' 


40=32- 
44-14' 


41=25' 
43-17' 


42-18' 






31 


34-53' 
50=41' 


35 "SI' 
49'57' 


36"! I' 
49-13' 


36-52' 
48=28' 


37°35' 
47°39' 


38=20' 
46=52' 


39°5' 
46°!' 


39-52 ' 
45°io' 


40=41' 
44°i5' 


41-32' 
43=20' 


42"23' 






32 


35=46' 
49°50' 


36^27' 
49''7' 


37"6' 

4S°22' 


37^48' 
47-36' 


38-31' 
46-49' 


39-15' 
45°59' 


40=1' 
45-9' 


40-49' 
44-17' 


41=38' 
43-24' 


42=28' 






33 


36=39' 
48°59' 


37=19' 
48 '17' 


38=0' 
47=32' 


38-42' 
46=46 ' 


39=26' 
45-58' 


40=0' 
45°8' 


40=56' 
44=iS' 


41-44' 
43-26' 


42-33' 






34 


37<'32' 
48"i2' 


38=11' 
47=27' 


38-53' 
46^43' 


39=35' 
45=57' 


40=18' 
45°8' 


41=4' 
44=20' 


41=49' 
43-29' 


42=37' 






35 


38^22' 
47=24' 


39=3' 
46=39' 


39"44' 
45'54' 


40=26' 
45"8' 


41=10' 
44=20' 


41-55' 
43-31' 


42-41' 






36 


39^"' 
46^=37' 


39=52' 
45°52' 


40'34' 
45-8 


41-15' 

44^21' 


42=0' 
43°34' 


42-45' 






37 


40°o' 
45°52' 


40=40' 
45°8' 


41=22' 

44°22' 


42=5' 
43''37' 


42-48' 






38 


40''47' 
45'"'7' 


4i'=2S' 
44=24' 


42=9' 

43°39' 


42V 






39 


41-32' 
44^24' 


42-14' 
43 V 


42°56' 






40 


42""i8' 
43 "4 2' 


42"5S' 




For Bevel Gears wath axes at right angles. 


41 


43°2' 




Angle for gear above, for pinion below. 



BROWN & SHARPE MFG. CO. 



83 



ANGLE OF FACE. 

GEAR 







26 


25 


24 


23 


22 


21 


20 


19 


18 


17 


16 


15 


14 


13 


12 




12 


26^46' 
6i"i4' 


21 "31' 
6o"t5' 


22 18' 
59'io' 


23 '8' 
58^2' 


24^3' 
5649' 


25=2' 
55=32' 


26''3' 
54^7' 


27-11' 
52=39' 


2825' 
51=3' 


29 H3' 
49=17' 


31""' 
4725' 


3244' 
45=24' 


34 26' 
43 14' 


36 16' 
40=50' 


38'i7' 




13 


22-37' 
59'29' 


23"26' 

58 "28' 


24-15' 
57=21' 


259' 
56=11' 


266' 
54^56' 


27-8' 
5336' 


2b 14' 
52-10' 


29^25' 
5^-39' 


30=42' 
49^2' 


32=4' 
47=16' 


3334' 

45=22' 


35-10' 

4320' 


3655' 
419' 


38=48' 






14 


24°25' 

.S7"49' 


25"i6' 
56"46' 


26"8' 
55=38' 


27=5' 
54-''25' 


28 4' 
53"'8' 


299' 
51=47' 


3020' 
50 20' 


48^47' 


32=52' 

47"?' 


34"i8' 
45"i2' 


35=5"' 
43=26' 


37-28' 
41=24' 


39' ly 








15 


"26'[l' 


27"3' 
35"7' 


27 -5s' 
53^58' 


28-58' 
52=44' 


300' 
51=26' 


31-6' 
50=2' 


32=19' 
48"33' 


33=36' 
47-0' 


34"56' 
45-20' 


36=23' 
4333' 


37=57' 
4i''39' 


39=38' 








IS 


2T'S2' 

54''3S' 


28^45' 
53"3i' 


29-'43' 

52^21 ' 


3>J=44' 
51=6' 


3i^50' 
49=46' 


32=58' 

48=22' 


34=12' 
46=52' 


35-31' 
45-:i9' 


3654' 
43=38' 


38=23' 
41=51' 


39'57' 








17 


29:30- 
53''3' 


30 26' 
52°o' 


31^26' 
5o\8 ' 


32^28' 
49^32' 


33^35' 
48'ii' 


34=47' 
46=47' 


36 b' 
45"i6' 


37=21- 
43=43' 


3845' 
42 I' 


40^15' 






z 



18 


315' 

5i°4i' 


32"2' 

50=32' 


33-'4' 
49-18' 


348' 
48- 2' 


3515' 

46^41' 


36=28' 
45=16' 


37=45' 
43^45' 


39-5' 

42'll' 


4031' 






z 


19 


32^36' 
5o"i8' 


33'36' 
49 S' 


34=38- 
4754' 


35:49' 
46^36' 


36=53' 
45 15' 


38=6' 
43''50 '■ 


39=24' 
4 2" 20' 


4o''45' 






20 


.34^5' 
4S"57'' 


35"6' 
47"46' 


36=8' 
46^32' 


37"i6' 
45° 14' 


38=26' 
43'5=-' 


39=39' 
42=27' 


40^57' 








21 


35"3i' 
47^39' 


36^32' 
46"2S' 


37-"37' 
45''i3' 


38 "44' 
43" 56' 


39-04' 
42^34' 


41^8' 








22 


46=24' 


37'55' 
45=13' 


39^0' 
43=58' 


40^-8' 
42^40' 


41=19' 








23 


3S"i2' 
45°i2' 


39'i5' 

44°i' 


40=20' 
42=46' 


41° 28' 








24 


39"29' 
44' 3' 


40=32' 
42-'i2' 


4i°38' 








25 


4o"43' 
42=57' 


4i°46' 








26 


4i°53' 







For Bevel Gears with axes at right angles. 
Angle for gear above, for pinion belo-w. 



Table for Selecting Cutters for 
Bevel Gears. 

SELECTION OF CUTTERS. 

The following tables are for use in selecting cutters for 
cutting bevel gears. The various numbers of teeth in gear and 
pinion are given and at the intersection of the two columns will 
be found the numbers of the cutters required. 

Example. — Required cutters for a pair of bevel gears, 8 
pitch; gear 24 teeth, pinion 12 teeth. 

In column at left of table, page 86, will be found 24 teeth 
and in column at top 12 teeth; at the intersection of these two 
columns w^ill be found the numbers of the cutters, in this case 
No. 3 for the gear and No. 8 for the pinion. 



86 



BROWN & SHARPE MFG. CO. 



CUTTERS FOR USE IN CUTTING BEVEL GEARS. 

PINION. 







12 


13 


14 


15 


16 


17 


18 


19 


20 


21 


22 


23 


24 


25 


26 


27 


28 


29 


30 




12 


7-7 








































13 


6-7 


6-6 






































14 


5-7 


6-6 


6-6 




































15 


5-7 


5-6 


5-6 


5-5 


































16 


4-7 


5-7 


5-6 


5-6 


5-5 
































17 


4-7 


4-7 


4-6 


5-6 


5-5 


5-5 






























18 


4-7 


4-7 


4-6 


4-6 


4-5 


4-5 


5-5 




























19 


3-7 


4-7 


4-6 


4 6 


4-6 


4-5 


4-5 


4-4 


























20 


3-7 


3-7 


4-6 


4-6 


4-6 


4-5 


4-5 


4-4 


4-4 
























21 


3-8 


3-7 


3-7 


3-6 


4-6 


4-5 


4-5 


4-5 


4-4 


4-4 






















22 


3-8 


3-7 


3-7 


3-6 


3-6 


3-5 


4-5 


4-5 


4-4 


4-4 


4-4 




















23 


3-8 


3-7 


3-7 


3-6 


3-6 


3-5 


3-5 


3-5 


3-4 


4-4 


4-4 


4-4 


















24 


3-8 


3-7 


3-7 


3-6 


3-6 


3-6 


3-5 


3-5 


3-4 


3-4 


3-4 


4-4 


4-4 
















25 


2-8 


2-7 


3-7 


3-6 


3-6 


3-6 


3-5 


3-5 


3-5 


3-4 


3-4 


3-4 


4-4 


3-3 














26 


2-8 


2-7 


3-7 


3-6 


3-6 


3-6 


3-5 


3-5 


3-5 


3-4 


3-4 


3-4 


3-4 


3-3 


3-3 












27 


2-8 


2-7 


2-7 


2-6 


3-6 


3-6 


3-5 


3-5 


3-5 


3-4 


3-4 


3-4 


3-4 


3-4 


3-3 


3-3 










28 


2-8 


2-7 


2-7 


2-6 


2-6 


3-6 


3-5 


3-5 


3-5 


3-4 


3-4 


3-4 


3-4 


3-4 


3-3 


3-3 


3-3 








29 


2-8 


2-7 


2-7 


2-7 


2-6 


2-6 


3-5 


3-5 


3-5 


3-4 


3-4 


3-4 


3-4 


3-4 


3-3 


3-3 


3-3 


3-3 






30 


2-8 


2-7 


2-7 


2-7 


2-6 


2-6 


2-5 


2-5 


3-5 


3-5 


3-4 


3-4 


3-4 


3-4 


3-4 


3-3 


3-3 


3-3 


3-3 




31 


2-8 


2-7 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


3-4 


3-4 


3-4 


3-4 


3-4 


3-3 


3-3 


3-3 


3-3 


tr 


32 


2-8 


2-7 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-4 


2-4 


3-4 


3-4 


3-4 


3-3 


3-3 


3-3 


3-3 


a 


33 


2-8 


2-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


3-4 


3-4 


3-4 


3-3 


3-3 


3-3 


o 


34 


2-8 


2-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


3-4 


3-3 


3-3 


3-3 




35 


2-8 


2-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 


3-3 


3-3 




36 


2-8 


2-8 


2-7 


2-7 


2,-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 


2-3 


2-3 




37 


2-8 


2-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 


2-3 


2-3 




38 


2-8 


2-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 


2-3 




39 


2-8 


2-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 


2-3 




40 


1-8 


2-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 


2-3 




41 


1-8 


1-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 


2-3 




42 


1-8 


1-8 


2-7 


2-7 


2-6 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 


2-3 




43 


1-8 


1-8 


1-7 


2-7 


2-6 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 




44 


1-8 


1-8 


1-7 


1-7 


2-6 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 




45 


1-8 


1-8 


1-7 


1-7 


1-6 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 




461 1- 8 


1-8 


1-7 


1-7 


1-7 


2-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 




47II-S 


1-8 


1-7 


1-7 


1-7 


1-6 


2-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 




48 II- 8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


2-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 




49|i-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 




50|i-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


2-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-3 




51 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-5 


2-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 




52 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-5 


1-5 


2-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 




53 


i-s 


i-S 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


2-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 




54 1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 




55 1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


2-4 


2-4 


2-4 


2-4 


2-4 


2-4 



For Bevel Gears with 
Number of cutter for 



axes at right angles. 

gear given first, followed by number for pinion. 



BROWN & SHARPE MKG. CO. 

CUTTERS FOR USE IN CUTTING BEVEL GEARS. 

( Coniiiiued. ) 
PINION. 



87 





12 


13 


14 


15 


16 


17 


18 


19 


20 


21 


22 


23 


24 


25 


26 


27 


28 


29 


30 


56 


i-S 


1-8 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


2-4 


2-4 


2-4 


2-4 


2-4 


57 


i-S 


I-S 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


2-4 


2-4 


2-4 


2-4 


58 


I-S 


I-S 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


2-4 


2-4 


2-4 


59 


1-8 


I-S 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


2-4 


2-4 


60 


1-8 


1-8 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


2-4 


61 


1-8 


I-S 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


62 


1-8 


I-S 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


63 


1-8 


I-S 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


64 


I-S 


1-8 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


65 


I-S 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


66 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


67 


I-S 


I-S 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


68 


1-8 


I-S 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


Ir4 


1-4 


1-4 


1-4 


1-4 


1-4 


69 


I-S 


I-S 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


70 


1-8 


I-S 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


71 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


72 


I-S 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


73 


I-S 


I-S 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


74 


I-S 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


75 


I-S 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


76 


I-S 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4. 


77 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


r-S 


1-4 


1-4 


1-4 


1-4 


1-4 


r-4 


78 


I-S 


I-S 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


79 


1-8 


I-S 


1 7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


80 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


81 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


82 


I-S 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


83 


I-S 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


84 


I-S 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


85 


I.-S 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


86 


I-S 


I-S 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


87 


1-S 


I-S 


1-7 


1-7 


1-7 


1-6 


1-6 


I 6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


88 


1-8 


I-S 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


89 


I-S 


I-S 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


i-5|i-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


90 


1-8 


I-S 


1-7 


17 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


91 


I-S 


I-S 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


92 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


93 


1-8 


I-S 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


94 


1-8 


I-S 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


95 


1-8 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


96 


I-S 


I-S 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


97 


1-8 


1-8 


1-7 


1^7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


98 


I-S 


I-S 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


99 


I-S 


1-8 


1-7 


1-7 


1-7 


1-6 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 


100 


1-8 


1-8 


1-7 


1-7 


1-7 


1-5 


1-6 


1-6 


1-6 


1-5 


1-5 


1-5 


1-5 


1-4 


1-4 


1-4 


1-4 


1-4 


1-4 



For Bevel Gears with 
Number of cutter for 



axes at right angles, 
gear given first, followed 



by number for pinion. 



Table for the 
Solution of Right Angled Triangles. 



SOLUTION OF TRIANGLES BY NATURAL LINES. 



PARTS 


PARTS TO BE FOUND. 


GIVEN. 


Angle. 1 Adj. Side. 


Opp. Side. 


Hypoth. 


Opp. Ang. 


-,1 


• 








0pp. and • 
Hyp. 


^'"-Hy^. 


^Hyp2_Opp.2 


Cos.^S"''- 

Hyp. 




Tau.=?P?: 

Adj. 






. 




0pp. and 
Adj. 


-y/opp.^^+Adj.^ 


Cot. = °PP- 

Adj. 




Hyp. 










Adj . and 
Hyp. 


.^ Hyp. 2— Adj. 2 


Sin.=^'^> 

Hyp. 


Ang. and 
0pp. 




0pp. X Cot. 




Opp.-^- Sin. 


90°-Ang. 


Aug . and 
Adj. 






Adj. X Tang. 


Adj. ^ Cos. 


90° — Ang. 


Ang. and 
Hyp. 




Hyp. X Cos. 


Hyp. X Sin. 




90° — Ang. 



ABBREVIATIONS USED. 



Opp. = Opposite side. 
Adj. = Adjacent side. 
Hyp. = Hypothenuse. 
Ang. = Angle. 



Sin. ^ Sine. 
Tan. = Tangent. 
Cos. = Cosine. 
Cot. = Cotangent. 



Natural Sines and Cosines 
Natural Tangents and Cotangents 



Courtesy of 
The International Correspondence Schools, 

SCRANTON, Pa. 



92 



BROWN & SHARPE MFG. CO. 



NATURAL SINES AND COSINES 



/ 


0° 


I 


3 


2 


D 


3 


3 


4° 


1 


Sine ( 


!^osine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine ( 


];osine 





.00000 




.01745 


.99985 


.03490 


.99939 


'•05234 


.99863 


.06976 


99756 


60 


I 


.00029 






.01774 


.99984 


.03519 


.99938 


.05263 


.99861 


.07005 


99754 


59 


2 


.00058 






.01803 


.99984 


.03548 


.99937 


.05292 


.99860 


.07034 


99752 


S8 


3 


.00087 






.01832 


.99983 


•03577 


.99936 


.05321 


.99858 


.07063 


99750 


57 


4 


.00116 






.01862 


.99983 


.03606 


■99935 


.05350 


.99857 


.07092 


99748 


S6 


5 


.00145 






.01891 


.99982 


•03635 


.99934 


.05379 


.99855 


.07121 


99746 


55 


6 


.00175 






.01920 


.99982 


.03664 


.99933 


.05408 


.99854 


.07150 


99744 


54 


7 


.00204 






.01949 


.99981 


.03693 • 


.99932 


.05437 


.99852 


.07179 


99742 


S3 


8 


.00233 






.01978 


.99980 


.03723 


.99931 


.05466 


.99851 


.07208 


99740 


52 


9 


.00262 






.02007 


.99980 


.03752 


.99930 


.05495 


.99849 


.07237 


99738 


51 


10 


.00291 






.02036 


•99979 


•03781 


.99929 


.05524 


.99847 


.07266 


997,36 


SO 


11 


.00320 


99999 


.02065 


.99979 


.03810 


.99927 


.05553 


.99846 


.07295 


99734 


49 


12 


.00349 


99999 


.02094 


.99978 


.03839 


.99926 


.05582 


.99844 


.07324 


99731 


48 


13 


.00378 


99999 


.02123 


.99977 


.03868 


.99925 


.05611 


.99842 


.07353 


99729 


47 


14 


.00407 


99999 


.02152 


.99977 


.03897 


•99924 


.05640 


.99841 


.07382 


99727 


46 


IS 


.00436 


99999 


.02181 


.99976 


.03926 


■99923 


.05669 


.99839 


.07411 


9972s 


45 


i6 


.00465 


99999 


.02211 


.99976 


•03955 


.99922 


.05698 


.99838 


.07440 


99723 


44 


17 


.00495 


99999 


.02240 


.99975 


•03984 


•99921 


.05727 


.99836 


.07469 


99721 


43 


i8 


.00524 


99999 


.02269 


.99974 


.04013 


•99919 


.05756 


.99834 


.07498 


99719 


42 


19 


.00553 


99998 


.02298 


.99974 


.04042 


.99918 


.05785 


.99833 


.07527 


99716 


41 


20 


.00582 


99998 


.02327 


.99973 


.04071 


.99917 


.05814 


.99831 


.07556 


99714 


40 


21 


.00611 


99998 


.02356 


.99972 


.04100 


.99916 


.05844 


.99829 


.07585 


99712 


39 


22 


.00640 


99998 


.02385 


.99972 


.04129 


.99915 


.05873 


.99827 


.07614 


99710 


38 


23 


.00669 


r:998 


.02414 


.99971 


.04159 


.99913 


.05902 


.99826 


.07643 


99708 


37 


24 


.00698 


99998 


.02443 


.99970 


.04188 


.99912 


.05931 


.99824 


.07672 


99705 


36 


2S 


.00727 


99997 


.02472 


.99969 


.04217 


.99911 


.05960 


.99822 


.07701 


99703 


35 


26 


.00756 


99997 


.02501 


.99969 


.04246 


.99910 


.05989 


.99821 


.07730 


99701 


34 


27 


.00785 


99997 


.02530 


.99968 


.0427s 


.99909 


.06018 


.99819 


.07759 


99699 


33 


28 


.00814 


99997 


.02560 


.99967 


.04304 


.99907 


.06047 


.99817 


.07788 


99696 


32 


29 


.00844 


99996 


.02589 


.99966 


.04333 


.99906 


.06076 


.99815 


.07817 


99694 


31 


30 


.00873 


99996 


.02618 


.99966 


.04362 


.99905 


.06105 


.99813 


.07846 


99692 


30 


31 


.00902 


99996 


.02647 


.99965 


.04391 


.99904 


.06134 


.99812 


.07875 


99689 


29 


32 


.00931 


99996 


.02676 


.99964 


.04420 


.99902 


.06163 


.99810 


■07904 


99687 


28 


33 


.00960 


99995 


.02705 


.99963 


.04449 


.99901 


.06192 


.99808 


.07933 


99685 


27 


34 


.00989 


99995 


.02734 


.99963 


.04478 


.99900 


.06221 


.99806 


.07962 


99683 


26 


3S 


.01018 


99995 


.02763 


.99962 


.04507 


.99898 


.06250 


.99804 


.07991 


99680 


25 


36 


.01047 


99995 


.02792 


.99961 


.04536 


•99897 


.06279 


.99803 


.08020 


99678 


24 


37 


.01076 


99994 


.02821 


.99960 


.04565 


.99896 


.06308 


.99801 


.08049 


99676 


23 


38 


.01105 


99994 


.02850 


.99959 


.04594 


.99894 


.06337 


.99799 


.08078 


99673 


22 


39 


.01134 


99994 


.02879 


.99959 


.04623 


•99893 


.06366 


■99797 


.08107 


99671 


21 


40 


.01164 


99993 


.02908 


.99958 


.04653 


.99892 


.06395 


.99795 


.08136 


99668 


20 


41 


.01193 


99993 


.02938 


.99957 


.04682 


•99890 


.06424 


.99793 


.08165 


99666 


19 


42 


.01222 


99993 


.02967 


.99956 


.04711 


.99889 


.06453 


.99792 


.08194 


99664 


18 


43 


.01251 


99992 


.02996 


•99955 


.04740 


.99888 


.06482 


.99790 


.08223 


99661 


17 


44 


.01280 


99992 


.03025 


•99954 


.04769 


.99886 


.06511 


.99788 


.08252 


99659 


16 


45 


.01309 


99991 


.03054 


•99953 


.04798 


•99885 


.06540 


.99786 


.08281 


99657 


IS 


46 


■01338 


99991 


.03083 


•99952 


.04827 


•99883 


.06569 


.99784 


.08310 


99654 


14 


47 


.01367 


99991 


.03112 


•99952 


.04856 


.99882 


.06598 


.99782 


.08339 


99652 


13 


48 


.01396 


99990 


.03141 


•999SI 


.04885 


.99881 


.06627 


.99780 


.08368 


99649 


12 


49 


.01425 


99990 


.03170 


•99950 


.04914 


.99879 


.06656 


.99778 


.08397 


99647 


11 


50 


.01454 


99989 


.03199 


•99949 


.04943 


.99878 


.06685 


.99776 


.08426 


99644 


10 


SI 


.01483 


99989 


.03228 


.99948 


.04972 


•99876 


.06714 


.99774 


.08455 


99642 


9 


52 


.01513 


99989 


.03257 


.99947 


.05001 


•9987s 


.06743 


.99772 


.08484 


99639 


8 


53 


.01542 


99988 


.03286 


•99946 


.05030 


.99873 


.06773 


.99770 


.08513 


99637 


7 


54 


.01571 


99988 


.03316 


•99945 


.05059 


.99872 


.06802 


.99768 


.08542 


99635 


6 


SS 


.01600 


99987 


.03345 


.99944 


.05088 


.99870 


.06831 


•99766 


.08571 


99632 


S 


S6 


.01629 


99987 


.03374 


.99943 


.05117 


.99869 


.06860 


.99764 


.08600 


99630 


4 


S7 


.01658 


999S6 


.03403 


.99942 


.05146 


.99867 


.06889 


.99762 


.08629 


99627 


3 


58 


.01687 


99986 


.03432 


.99941 


.05175 


.99866 


.06918 


.99760 


.08658 


99625 


2 


59 


.01716 


99985 


.03461 


.99940 


.05205 


.99864 


.06947 


.99758 


.08687 


99622 


I 


6o 


.01745 


99985 


.03490 


.99939 


.05234 


.99863 


.06976 


.99756 


.08716 


99619 





1 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


1 


89° 


88 





87 





86 





85° 



BROWN & SHARPE MFG. CO. 

NATURAL SINES AND COSINES 



93 



/ 


5° 


6 





7° 


8° 


9° 


1 


Sine 


Cosine 


Sine 


Cosine 


Sine C 


osine 


Sine C 


osine 


Sine C 


osine 





.08716 


.99619 


•10453 


.99452 


.12187 


99255 


.13917 


99027 


.15643 


98769 


60 


I 


.08745 


.99617 


.104S2 


.99449 


.12216 


99251 


.13946 


99023 


.15672 


98764 


59 


2 


.08774 


.99614 


.10511 


.99446 


.12245 


99248 


.13975 


99019 


.15701 


98760 


58 


3 


.08803 


.99612 


.10540 


.99443 


.12274 


99244 


.14004 


99015 


•15730 


98755 


57 


4 


.08831 


.99609 


.10569 


.99440 


.12302 


99240 


.14033 


9901 1 


.15758 


98751 


56 


S 


.08860 


.99607 


■ I 0597 


■99437 


■12331 


99237 


.14061 


99006 


.15787 


98746 


55 


6 


.08889 


.99604 


.10626 


•99434 


.12^60 


99233 


.14090 


99002 


.15S16 


98741 


54 


7 


.08918 


.99602 


.io6>;5 


.99431 


.12389 


99230 


.14119 


98998 


.15845 


98737 


53 


8 


.08947 


•99S99 


.10684 


.99428 


.12418 


99226 


.14148 


9"994 


•15S73 


98732 


52 


9 


.08976 


.99596 


.10713 


.99424 


.12447 


99222 


•14177 


98000 


.15902 


98728 


51 


10 


.09005 


.99594 


.10742 


.99421 


.12476 


99219 


.14205 


98986 


.15931 


98723 


SO 


II 


.09034 


.99591 


.10771 


.99418 


.12504 


9921s 


.14234 


9S982 


.15959 


98718 


49 


12 


.09063 


.99588 


.loSoo 


.99415 


•12533 


99211 


.14263 


9 -'978 


.15988 


98714 


48 


13 


.09092 


.99586 


.108:9 


• 99412 


• 12562 


99208 


.14292 


98973 


.16017 


98709 


47 


14 


.09121 


•99583 


.10858 


• 99409 


.12591 


99204 


.14320 


9S969 


.16046 


98704 


46 


IS 


.09150 


.99580 


.10S87 


.99406 


.12620 


99200 


.14349 


9896s 


.16074 


98700 


45 


i6 


.09179 


.9957S 


.10916 


.99402 


.12649 


99197 


.14378 


98961 


.16103 


98695 


44 


17 


.09208 


■99575 


.10945 


•99399 


.12678 


99193 


.14407 


9S957 


.16132 


98690 


43 


i8 


.09237 


■99S72 


.10973 


•90396 


.12706 


99189 


.14436 


98953 


.16160 


98686 


42 


19 


.09266 


.99570 


.11002 


•99393 


•12735 


99186 


.14464 


98948 


.16189 


98681 


41 


20 


.09295 


.99567 


.11031 


•99390 


.12764 


99182 


.14493 


98944 


.16218 


986-6 


40 


21 


.09324 


.99564 


.11060 


•99386 


•12793 


99178 


.14522 


98940 


.16246 


98671 


39 


22 


.09353 


.99562 


.11089 


•99383 


.12822 


9917s 


.14551 


98936 


.16275 


98667 


38 


23 


.09382 


.99559 


.11118 


.99380 


•12851 


99171 


.14580 


98931 


.16304 


98662 


37 


24 


.09411 


•99556 


.11147 


•99377 


.12SS0 


99167 


.14608 


98927 


.16333 


98657 


36 


25 


.09440 


•99553 


.11176 


•99374 


.12908 


99163 


.14637 


98923 


.16361 


98652 


35 


26 


.09469 


■99551 


.11205 


•99370 


•12937 


99160 


.14666 


98919 


.16390 


98648 


34 


27 


.09498 


•99543 


.11234 


•99367 


.12966 


991:6 


.14695 


98914 


.16419 


98643 


33 


28 


.09527 


•99545 


.11263 


•99364 


.12995 


99152 


■14723 


98910 


.16447 


98638 


32 


29 


.09556 


•99542 


.11291 


•90360 


.13024 


99148 


.14752 


98906 


.16476 


98633 


31 


30 


.09585 


.99540 


.11320 


•99357 


.13053 


99144 


.14781 


98902 


.16505 


98629 


30 


31 


.09614 


•99537 


.11349 


•99354 


.13081 


99141 


.14810 


98897 


.16533 


98624 


29 


32 


.09642 


•99534 


.11378 


•99351 


.13110 


99137 


.14838 


98893 


.16562 


98619 


28 


33 


.09671 


• 9953 1 


.11407 


.99347 


.13139 


99133 


.14867 


98889 


.16591 


98614 


27 


34 


.09700 


•995-8 


.11436 


.99344 


.13168 


99129 


.14896 


98884 


.16620 


98609 


26 


35 


.09729 


.99526 


.11465 


.99341 


.13197 


99125 


.14925 


98880 


.16648 


98604 


25 


36 


.09758 


•99523 


.11494 


.99337 


.13226 


99122 


.14954 


98876 


.16677 


98600 


24 


37 


.09787 


•99520 


•11523 


.99334 


.13254 


99118 


.14982 


98871 


.16706 


9859s 


23 


38 


.09816 


•99517 


.11552 


.99331 


.13283 


99114 


.15011 


98867 


.16734 


98590 


22 


39 


.09845 


.99514 


.11580 


.99327 


.13312 


99110 


.15040 


98863 


.16763 


98585 


'21 


40 


.09874 


•99SII 


.11609 


.99324 


.13341 


99106 


.15069 


98858 


.16792 


98580 


20 


41 


.09903 


.99508 


.11638 


.99320 


.13370 


99102 


.15097 


98854 


.16820 


98575 


19 


42 


.09932 


.99506 


.11667 


.99317 


.13399 


99098 


.15126 


98849 


.16849 


98570 


18 


43 


.09961 


•99503 


.11696 


.99314 


.13427 


99094 


.1515s 


9884s 


.16878 


9856s 


17 


44 


.05990 


•99500 


.11725 


.99310 


.13456 


99091 


.15184 


98841 


.16906 


98561 


16 


45 


.10019 


•99497 


.11754 


.99307 


.13485 


99087 


.15212 


98836 


-16935 


98556 


15 


46 


.10048 


.99494 


.11783 


.99303 


.13514 


99083 


.15241 


98832 


.16964 


98551 


14 


47 


.10077 


.99491 


.11812 


.99300 


•13543 


99079 


.15270 


98827 


.16992 


98546 


13 


48 


.10106 


.99488 


.11840 


.99297 


•13572 


9907s 


.15299 


98823 


.17021 


98541 


12 


49 


.I0I3S 


.99485 


.11869 


•99293 


.13600 


99071 


.15327 


98818 


.17050 


98536 


11 


50 


.10164 


.99482 


.11898 


.99290 


.13629 


99067 


.15356 


98814 


.17078 


98531 


10 


51 


.10192* 


.99479 


.11927 


.99286 


.13658 


99063 


.15385 


98809 


.17107 


98526 


9 


52 


.10221 


.99476 


.11956 


.99283 


.136S7 


99059 


.15414 


9880s 


.17136 


98521 


8 


S3 


.10250 


.99473 


.11985 


.99279 


.13716 


99055 


.15442 


98800 


.17164 


98516 


7 


54 


.10279 


.99470 


.12014 


.99276 


.13744 


99051 


.15471 


98796 


.17193 


98511 


6 


55 


.IO30S 


.99467 


.12043 


.99272 


.13773 


99047 


.15500 


98791 


.17222 


98506 


5 


56 


.10337 


.99464 


.12071 


.99269 


.13802 


99043 


.15529 


98787 


.17250 


98501 


4 


5' 


.10366 


.99461 


.12100 


.99265 


.13831 


99039 


• 15557 


987S2 


.17279 


98496 


3 


S8 


.10395 


.99458 


.12129 


.99262 


.13860 


9903s 


■15586 


98778 


.1730B 


98491 


2 


S9 


.10424 


.99455 


.12158 


•99258 


.13289 


99031 


.15615 


98773 


.17336 


98486 


1 


60 


.10453 


.99452 


.12187 


.99255 


.13917 


99027 


.15643 


98769 


.17365 


98481 





/ 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


/ 


84 





8 


3° 


82 


D 


8i< 


3 


8o< 


3 



94 



BROWN & SHARPE MFG. CO. 

NATURAL SINES AND COSINES 



1 


10 





II 





12° 


13° 


14° 


/ 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine C 


Cosine 





.17365 


.98481 


.19081 


.98163 


.20791 


.9781S 


.22495 


.97437 


.24192 


97030 


60 


I 


.17393 


.98476 


.19109 


.98157 


.20820 


.97809 


•22523 


.97430 


.24220 


97023 


59 


2 


.17422 


.98471 


■19138 


.98152 


.20848 


.97803 


•22552 


.97424 


•24249 


9701s 


58 


3 


.17451 


.98466 


■19167 


.98146 


.20877 


■97797 


.22580 


.97417 


.24277 


97008 


S7 


4 


.17479 


.98461 


■19195 


.98140 


.20905 


■97791 


.22608 


■97411 


•24305 


97001 


56 


5 


.17508 


■9845s 


.19224 


•98135 


■20933 


■97784 


.22637 


■97404 


•24333 


96994 


55 


6 


.17537 


■98450 


.19252 


.98129 


.20962 


■97778 


.22665 


■97398 


.24362 


96987 


54 


7 


■1756s 


■98445 


.19281 


.98124 


.20990 


.97772 


.22693 


■97391 


.24390 


96980 


S3 


8 


.17594 


.98440 


.19309 


.98118 


.21019 


.97766 


.22722 


■97384 


.24418 


96973 


S2 


9 


.17623 


■9843s 


•19338 


.98112 


.21047 


■97760 


.22750 


■97378 


.24446 


96966 


51 


10 


.17651 


.98430 


.19366 


.98107 


.21076 


•97754 


.22778 


■97371 


.24474 


96959 


SO 


II 


.17680 


.98425 


.19395 


.98101 


.21104 


•97748 


.22807 


.97365 


.24503 


96952 


49 


12 


.17708 


.98420 


• 19423 


.98096 


.21132 


•97742 


.22835 


.97358 


■24S3I 


96945 


48 


13 


.17737 


.98414 


•194S2 


.98090 


.21161 


•9773S 


.22863 


■97351 


.24559 


96937 


47 


14 


.17766 


.98409 


.19481 


.98084 


.21189 


.97729 


.22892 


■97345 


.24587 


96930 


46 


IS 


.17794 


.98404 


• 19509 


.98079 


.21218 


.97723 


.22920 


.97338 


.24615 


96923 


45 


l6 


.17823 


.98399 


•19538 


•98073 


.21246 


.97717 


.22948 


•97331 


.24644 


96916 


44 


17 


.17852 


•98394 


.19566 


.98067 


.21275 


•97711 


.22977 


•9732s 


.24672 


96909 


43 


i8 


.17880 


•98389 


•I9S9S 


.98061 


.21303 


•97705 


.23005 


•97318 


.24700 


96902 


42 


19 


.17909 


.98383 


.19623 


.98056 


■21331 


•97698 


.23033 


•97311 


.24728 


96894 


41 


20 


.17937 


.98378 


.19652 


.98050 


.21360 


•97692 


.23062 


•97304 


.24756 


96887 


40 


21 


.17966 


■98373 


.19680 


>98044 


.21388 


•97686 


.23090 


•97298 


.24784 


96880 


39 


22 


.17995 


■98368 


.19709 


.98039 


■21417 


.97680 


.23118 


•97291 


.24813 


96873 


38 


23 


.18023 


■98362 


•19737 


■98033 


■21445 


•97673 


■23146 


•97284 


.24841 


96866 


37 


24 


.18052 


■98357 


.19766 


.98027 


■21474 


.97667 


■23175 


.97278 


.24869 


96858 


36 


25 


.18081 


■98352 


•19794 


.98021 


.21502 


.97661 


■23203 


.97271 


.24897 


96851 


35 


26 


.18109 


■98347 


.19823 


.98016 


.21530 


•97655 


■23231 


•97264 


.24925 


96844 


34 


27 


.18138 


■98341 


.19851 


.98010 


.21559 


.97648 


.23260 


•97257 


.24954 


96837 


33 


28 


.18166 


■98336 


.19880 


.98004 


.21587 


.97642 


.23288 


•97251 


.24982 


96829 


32 


29 


.18195 


.98331 


.19908 


.97998 


.21616 


•97636 


■23316 


•97244 


.25010 


96822 


31 


30 


.18224 


■9832s 


•19937 


■97992 


.21644 


.97630 


.23345 


•97237 


.25038 


9681s 


30 


31 


.18252 


■98320 


• 19965 


■97987 


.21672 


.97623 


.23373 


•97230 


.25066 


96807 


29 


32 


.18281 


■983 1 5 


•19994 


.97981 


.21701 


.97617 


.23401 


•97223 


.25094 


96800 


28 


33 


.18309 


■98310 


.20022 


■97975 


.21729 


.97611 


.23429 


•97217 


.25122 


96793 


27 


34 


.18338 


■98304 


.20051 


.97969 


.21758 


.97604 


.23458 


.97210 


.25151 


96786 


26 


3S 


.18367 


•98299 


.20079 


■97963 


.21786 


.97598 


.23486 


•97203 


.25179 


96778 


25 


36 


•1839s 


■98294 


.20108 


•97958 


.21814 


•97592 


.23514 


.97196 


.25207 


56771 


24 


37 


.18424 


.98288 


.20136 


-97952 


.21843 


.97585 


.23542 


.97189 


.2523s 


96764 


23 


38 


.18452 


.98283 


.20165 


.97946 


.21871 


■97579 


.23S71 


.97182 


.25263 


96756 


22 


39 


.18481 


.98277 


.20193 


.97940 


.21899 


■97573 


.23599 


.97176 


.25291 


96749 


21 


40 


.18509 


.98272 


.20222 


.97934 


.21928 


■97566 


.23627 


.97169 


.25320 


96742 


20 


41 


.18538 


.98267 


.20250 


.97928 


.21956 


.97560 


.23656 


.97162 


.25348 


96734 


19 


42 


.18567 


.98261 


.20279 


.97922 


.21985 


•97553 


■23684 


.971SS 


■25376 


96727 


18 


43 


.18595 


.98256 


.20307 


.97916 


.22013 


.97547 


.23712 


.97148 


.25404 


96719 


17 


44 


.18624 


.98250 


.20336 


.97910 


.22041 


.97541 


.23740 


.97141 


.25432 


96712 


16 


45 


.18652 


.98245 


.20364 


•9790s 


.22070 


.97534 


.23769 


.97134 


.25460 


96705 


IS 


46 


.18681 


.98240 


.20393 


.97899 


.22098 


.97528 


.23797 


.97127 


.25488 


96697 


14 


47 


.18710 


.98234 


.20421 


•97893 


.22126 


.97521 


.23825 


.,97120 


.25516 


96690 


13 


48 


.18738 


.98229 


.20450 


•97887 


.22155 


•9751S 


.23853 


.97113 


.25545 


96682 


12 


49 


.18767 


.98223 


.20478 


.97881 


.^2183 


.97508 


.23882 


.97106 


.25573 


96675 


II 


50 


.18795 


.98218 


.20507 


.97875 


.22212 


.97502 


.23910 


.97100 


.25601 


96667 


10 


SI 


.18824 


.98212 


.20535 


.97869 


.22240 


.97496 


.23938 


.97093 


.25629 


96660 


9 


52 


.18852 


.98207 


.20563 


.97863 


.22268 


,97489 


.23966 


.97086 


.25657 


96653 


8 


53 


.18881 


.98201 


.20592 


.97857 


.22297 


.97483 


.23995 


.97079 


.25685 


9664s 


7 


54 


.18910 


.98196 


.20620 


•97851 


.22325 


-97476 


.24023 


.97072 


•25713 


96638 


6 


SS 


.18938 


.98190 


.20649 


.97845 


.22353 


.97470 


.24051 


•97065 


•25741 


96630 


5 


56 


.18967 


.98185 


.20677 


.97839 


.22382 


.97463 


.24079 


•97058 


.25769 


96623 


4 


57 


•1899s 


.98179 


.20706 


■97833 


.22410 


•97457 


.24108 


.97051 


.25798 


96615 


3 


58 


.19024 


■98174 


••20734 


■97827 


.22438 


.97450 


.24136 


.97044 


.25826 


96608 


2 


59 


.19052 


.98168 


.20763 


.97821 


.22467 


•97444 


.24164 


.97037 


.25854 


96600 


I 


6o 


.19081 


.98163 


.20791 


.97815 


.22495 


•97437 


.24192 


.97030 


.25882 


96593 





/ 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


/ 


79 





78 





7; 



7 


7< 


-0 
3 


75^ 


3 



BROWN & SHARPE MFG. CO. 

NATURAL SINES AND COSINES' 



95 



1 


15 





16° 


17° 


18° 


19° 


/ 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine C 


-osine 


Sine C 


Cosine 





.25882 


.96593 


.27564 


.96126 


.29237 


.95630 


.30902 


95106 


.32557 


94552 


60 


I 


.25910 


.96585 


.27592 


.96118 


.29265 


.95622 


.30929 


95097 


.32584 


94542 


59 


2 


.25938 


.96578 


.27620 


.96110 


.29293 


.95613 


.30957 


95088 


•32612 


94533 


58 


3 


.25966 


.96570 


.27648 


.96102 


.29321 


.95605 


.30985 


95079 


.32639 


94523 


57 


4 


.25994 


.96562 


.27676 


.96094 


.29348 


.95596 


.31012 


95070 


.32667 


94514 


56 


S 


.26022 


.96555 


.27704 


.96086 


.29376 


.95588 


.31040 


9506: 


.32694 


94504 


55 


6 


.26050 


.96547 


.27731 


.96078 


.29404 


.95579 


.31068 


95052 


.32722 


94495 


54 


7 


.26079 


.96540 


.27759 


.96070 


.29432 


.95571 


.31095 


95043 


.32749 


94485 


S3 


8 


.26107 


.96532 


.27787 


.96062 


.29460 


.95562 


•31123 


95033 


.32777 


94476 


52 


9 


.26135 


.96524 


.27815 


.96054 


.29487 


.95554 


.31151 


95024 


.32804 


94466 


51 


10 


.26163 


.96517 


.27843 


.96046 


.29515 


.95545 


.31178 


9S0IS 


.32832 


94457 


50 


II 


.26191 


.96509 


.27871 


.96037 


.29543 


.95536 


.31206 


95006 


.32859 


94447 


49 


12 


.26219 


.96502 


.27899 


.96029 


.29571 


.95528 


.31233 


94997 


.32887 


94438 


48 


13 


.26247 


.96494 


.27927 


.96021 


-29599 


.95519 


.31261 


94988 


.32914 


94428 


47 


14 


.26275 


.96486 


.27955 


.96013 


.29626 


.95511 


.31289 


94979 


.32942 


94418 


46 


IS 


.26303 


.96479 


.27983 


.96005 


.29654 


.95502 


.31316 


94970 


.32969 


94409 


45 


i6 


.26331 


•96471 


.28011 


.95997 


.29682 


.95493 


.31344 


94961 


.32997 


94399 


44 


17 


.26359 


.96463 


.28039 


.95989 


.29710 


.95485 


.31372 


94952 


.33024 


94390 


43 


i8 


.26387 


•96456 


.28067 


.95981 


.29737 


.95476 


.31399 


94943 


.33051 


94380 


42 


19 


.2641S 


.96448 


.28095 


.95972 


.29765 


.95467 


.31427 


94933 


.33079 


94370 


41 


20 


.26443 


.96440 


.28123 


.95964 


.29793 


.95459 


.31454 


94924 


.33106 


94361 


40 


21 


.26471 


.96433 


.28150 


.95956 


.29821 


.95450 


.31482 


94915 


.33134 


94351 


39 


22 


.26500 


.96425 


. .28178 


.95948 


.29849 


.95441 


.31510 


94906 


.33161 


94342 


38 


23 


.26528 


.96417 


.28206 


.95940 


.29876 


.95433 


.31537 


94897 


.33189 


94332 


37 


24 


.26556 


.96410 


.28234 


.95931 


.29904 


.95424 


.31565 


94888 


.33216 


94322 


36 


25 


.26584 


.96402 


.28262 


.95923 


.29932 


.95415 


.31593 


94878 


.33244 


94313 


35 


26 


.26612 


.96394 


.28290 


.95915 


.29960 


.95.'!07 


.31620 


94869 


.33271 


94303 


34 


27 


.26640 


.96386 


.28318 


.95907 


.29987 


.95398 


.31648 


94860 


.33298 


94293 


33 


28 


.26668 


.96379 


.28346 


.95898 


.30015 


.95389 


•31675 


94851 


.33326 


94284 


32 


29 


.26696 


.96371 


.28374 


.95890 


.30043 


.95380 


.31703 


94842 


.33353 


94274 


31 


30 


.26724 


.96363 


.28402 


.95882 


.30071 


.95372 


.31730 


94832 


.33381 


94264 


30 


31 


.26752 


.96355 


.28429 


.95874 


.30098 


.95363 


.31758 


94823 


.33408 


94254 


29 


32 


.26780 


.96347 


•28457 


.95865 


.30126 


.95354 


.31786 


94814 


•33436 


94245 


28 


33 


.26808 


■96340 


.28485 


.95857 


.30154 


.95345 


.31813 


94805 


.33463 


94235 


27 


34 


.26836 


.96332 


.28513 


.95849 


.30182 


.95337 


.31841 


94795 


.33490 


9422s 


26 


35 


.26864 


.96324 


.•28541 


.95841 


.30209 


.95328 


.31868 


94786 


.33518 


94215 


25 


36 


.26892 


.963^6 


.28569 


.95832 


.30237 


.95319 


.31896 


94777 


•33545 


94206 


24 


37 


.26920 


.96308 


.28597 


.95824 


.30265 


.95310 


.31923 


947C8 


•33573 


94196 


23 


38 


.26948 


.96301 


.2862s 


.95816 


.30292 


.95301 


.31951 


947S3 


.33600 


94186 


22 


39 


.26976 


.96293 


.28652 


.95807 


.30320 


.95293 


.31979 


94749 


.33627 


94176 


21 


40 


.27004 


.96285 


.28680 


.95799 


.30348 


.95284 


.32006 


94740 


.33655 


94167 


20 


41 


.27032 


.96277 


.28708 


.95791 


.30376 


.95275 


.32034 


94730 


.33682 


94157 


19 


42 


.27060 


.96269 


.28736 


.95782 


.30403 


.95266 


.32061 


94721 


.33710 


94147 


18 


43 


.27088 


.96261 


.28764 


.,95774 


.30431 


.95257 


.32089 


94712 


■33737 


94137 


17 


44 


.27116 


.96253 


.128792 


.95766 


.30459 


.95248 


.32116 


94702 


•33764 


94127 


16 


45 


.27144 


.96246 


..28820 


.95757 


.30486 


.95240 


.32144 


94693 


■33792 


941 18 


15 


46 


.27172 


.96238 


.28847 


.95749 


.30514 


.95231 


.32171 


94684 


.33819 


94108 


14 


47 


.27200 


.96230 


K8875 


.95740 


.30542 


.95222 


.32199 


94674 


•33846 


94098 


13 


48 


.27228 


.96222 


.28903 


.95732 


.30570 


.95213 


.32227 


94665 


•33874 


94088 


12 


49 


.27256 


.96214 


^28931 


.95724 


.30597 


.95204 


•32254 


94656 


■33901 


94078 


II 


SO 


.27284 


.96206 


.28959 


.95715 


.30625 


.95195 


•,32282 


94646 


■33929 


94068 


10 


SI 


.27312 


.96198 


328987 


.95707 


.30653 


.95186 


•32309 


94637 


.33956 


94058 


9 


52 


.27340 


.96190 


.29015 


.95698 


.30680 


.95177 


.32337 


94627 


.33983 


94049 


8 


S3 


.27368 


.96182 


.29042 


.•95690 


.30708 


.95168 


•32364 


94618 


.34011 


94039 


7 


54 


.27396 


.96174 


.29070 


.95681 


•30736 


.95159 


.32392 


94609 


.34038 


94029 


6 


55 


.27424 


.96166 


.29098 


.95673 


.30763 


.95150 


.32419 


94599 


.34065 


94019 


5 


h(> 


.27452 


.961^ 


.29126 


.95664 


.30791 


.95142 


.32447 


94590 


.34093 


94009 


4 


57 


.27480 


.96150 


.29154 


.95656 


.30819 


.95133 


.32474 


94580 


.34120 


93999 


3 


S8 


.27508 


.96142 


.29182 


.95647 


.30846 


.95124 


.32502 


94571 


.34147 


93989 


2 


59 


.27536 


.96134 


.29209 


.95639 


.30874 


.95115 


.32529 


94561 


.34175 


93979 


I 


60 


.27564 


.96126 


.29237 


.95630 


.30902 


.95106 


.32557 


94552 


.34202 


93969 





/ 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


1 


74 





7. 


5° 


T' 


2° 


71^ 


) 


70° 



96 



BROWN & SHARPE MFG. CO. 



NATURAL SINES AND COSINES 



/ 


20° 


2] 





22° 


23° 


24° 


/ 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 





.34202 


.93969 


•35837 


.93358 


.37461 


.92718 


.39073 


.920150 


.40674 


.9135s 


60 


I 


.34229 


.93959 


•35864 


.93348 


.37488 


.92707 


.39100 


.92039 


.40700 


.91343 


59 


2 


.34257 


•93949 


•35891 


.93337 


.37515 


.92697 


.39127 


.92028 


.40727 


.91331 


58 


3 


.34284 


.93939 


•35918 


.93327 


.37542 


.92686 


.39153 


.92016 


.40753 


.91319 


57 


4 


.34311 


•93929 


•35945 


.93316 


.37569 


.92675 


.39180 


.92005 


.40780 


.91307 


56 


S 


.34339 


.93919 


•35973 


.93306 


.37595 


.92664 


.39207 


.91994 


.40806 


.91295 


ss 


6 


.34366 


•93909 


.36000 


.93295 


.37622 


.92653 


.39234 


.91982 


.40833 


.91283 


S4 


7 


.34393 


.93899 


.36027 


.93285 


.37649 


.92642 


.39260 


.91971 


.40860 


.91272 


S3 


8 


.34421 


.93889 


.36054 


.93274 


.37676 


.92631 


.39287 


.91959 


.40886 


.91260 


S2 


9 


.34448 


•93879 


.36081 


.93264 


.37703 


.92620 


.39314 


.91948 


.40913 


.91248 


51 


10 


.3447S 


•93869 


.36108 


.93253 


.37730 


.92609 


.39341 


.91936 


■40939 


.91236 


SO 


II 


•34503 


.93859 


.36135 


.93243 


.37757 


.92598 


•39367 


.91925 


.40966 


.91224 


49 


12 


.34530 


.93849 


.36162 


.93232 


.37784 


.92587 


•39394 


.91914 


.40992 


.91212 


48 


13 


.34557 


.93839 


.36190' 


.93222 


.37811 


.92576 


•39421 


,91902 


.41019 


.91200 


47 


14 


.34584 


.93829 


.36217 


.93211 


.37838 


.9256s 


.39448 


.91891 


.41045 


.91188 


46 


IS 


.34612 


.93819 


.36244 


.93201 


.37865 


.92554 


•39474 


.91879 


.41072 


.91176 


45 


l6 


.34639 


•93809 


.36271 


.93190 


.37892 


.92543 


.39501 


.91868 


.41098 


.91164 


44 


17 


.34666 


•93799 


.36298 


.93180 


.37919 


.92532 


.39528 


.91856 


.41125 


.91152 


43 


i8 


.34694 


■93789 


.36325 


.93169 


.37946 


.92521 


.39555 


.9184s 


.41151 


.91140 


42 


19 


.34721 


•93779 


.36352 


.93159 


■37973 


.92510 


.39581 


.91833 


.41178 


.91128 


41 


20 


.34748 


•93769 


.36379 


.93148 


.37999 


.92499 


.39608 


.91822 


.41204 


.91116 


40 


21 


.34775 


•93759 


.36406 


.93137 


.38026 


.92488 


.39635 


.91810 


.41231 


.91104 


39 


22 


.34803 


•93748 


.36434 


.93127 


.38053 


.92477 


.39661 


.91799 


.41257 


.91092 


38 


23 


.34830 


•93738 


.36461 


.93116 


.38080 


.92466 


.39688 


.91787 


.41284 


.91080 


37 


24 


.34857 


•93728 


.36488 


.93106 


.38107 


.9245s 


.39715 


.91775 


.41310 


.91068 


36 


25 


.34884 


■93718 


•36515 


.93095 


.38134 


.92444 


.39741 


.91764 


.41337 


.91056 


35 


26 


.34912 


■93708 


.36542 


.93084 


.38161 


.92432 


.39768 


.91752 


.41363 


.91044 


34 


27 


.34939 


.93698 


•36569 


.93074 


.38188 


.92421 


.3979S 


.91741 


.41390 


.91032 


33 


28 


.34966 


.93688 


•36596 


.93063 


.3821S 


.92410 


.39822 


.91729 


.41416 


.91020 


32 


29 


.34993 


.93677 


•36623 


.93052 


.38241 


.92399 


.39848 


.91718 


.41443 


.91008 


31 


30 


■35021 


.93667 ■ 


.36650 


.93042 


.38268 


.92388 


.3987s 


.91706 


.41469 


.90996 


30 


31 


.35048 


.93657 


.36677 


.93031 


.38295 


.92377 


.39902 


.91694 


.41496 


.90984 


29 


32 


.35075 


.93647 


.36704 


.93020 


.38322 


.92366 


.39928 


.91683 


.41522 


.90972 


28 


33 


.35102 


■93637 


.36731 


.93010 


.38349 


.92355 


.39955 


.91671 


.41549 


.90960 


27 


34 


.35130 


■93626 


.36758 


.92999 


.38376 


.92343 


.399S2 


.91660 


.41575 


.90948 


26 


3S 


.35157 


■93616 


.36785 


.92988 


.38403 


.92332 


.40008 


.91648 


.41602 


.90936 


2S 


36 


.35184 


.93606 


.36812 


.92978 


.38430 


.92321 


.40035 


.91636 


.41628 


.90924 


24 


37 


.35211 


•93596 


.36839 


.92967 


.38456 


.92310 


.40062 


.91625 


.4165s 


.90911 


23 


38 


.35239 


■93585 


.36867 


.92956 


.38483 


.92299 


.40088 


.91613 


.41681 


.90899 


22 


39 


.35266 


•93575 


.36894 


.92945 


.38510 


.92287 


.4011S 


.91601 


.41707 


.90S87 


21 


40 


.35293 


•9356s 


.36921 


.9293s 


.38537 


.92276 


.40141 


.91590 


.41734 


.9087s 


20 


41 


.35320 


.93555 


.36948 


.92924 


.38564 


.92265 


.40168 


.91578 


.41760 


.90863 


19 


42 


.35347 


.93544 


.36975 


.92913 


.38591 


.92254 


.40195 


.91566 


.41787 


.90S51 


18 


43 


•35375 


.93534 


.37002 


.92902 


.38617 


.92243 


.40221 


.91555 


.41813 


.90839 


17 


44 


•35402 


.93524 


.37029 


.92892 


.38644 


.92231 


.40248 


.91543 


.41840 


.90826 


16 


4S 


•35429 


.93514 


.37056 


.92881 


.38671 


.92220 


.40275 


.91531 


.41866 


.90814 


IS 


46 


•35456 


.93503 


.37083 


.92870 


.3S698 


.92209 


.40301 


.91519 


.41892 


.90802 


14 


47 


•35484 


.93493 


.37110 


.92859 


.38725 


.92198 


.40328 


.91508 


.41919 


.90790 


13 


48 


•355" 


•93483 


.37137 


.92849 


.38752 


.92186 


.40355 


.91496 


.41945 


.90778 


12 


49 


•3S538 


•93472 


.37164 


.92838 


.38778 


.92175 


.40381 


.91484 


.41972 


.90766 


11 


SO 


•35565 


•93462 


.37191 


.92827 


.38805 


.92164 


.40408 


.91472 


.41998 


.90753 


10 


SI 


.35592 


.93452 


.37218 


.92816 


.38832 


.92152 


.40434 


.91461 


.42024 


.90741 


9 


52 


.35619 


.93441 


.3724s 


.92805 


.3S859 


.92141 


.40461 


.91449 


.42051 


.90729 


8 


S3 


.35647 


.93431 


.37272 


.92794 


.38886 


.92130 


.40488 


.91437 


.42077 


.90717 


7 


S4 


.35674 


.93420 


.37299 


.92784 


.38913 


.92119 


.40514 


.9142s 


.42104 


.90704 


6 


55 


.35701 


.93410 


.37326 


.92773 


.38939 


.92107 


.40541 


.91414 


.42130 


.90692 


5 


S6 


.35728 


.93400 


•37353 


.92762 


.38966 


.92096 


.40567 


.91402 


.42156 


.90680 


4 


57 


.35755 


•93389 


.37380 


.92751 


.38993 


.92085 


.40594 


.91390 


.42183 


.90668 


3 


S8 


.35782 


•93379 


.37407 


.92740 


.39020 


.92073 


.40621 


.91373 


.42209 


.90655 


2 


59 


.35810 


•93368 


•37434 


.92729 


.39046 


.92063 


.40647 


.91366 


.42235 


.90643 


I 


6o 


.35837 


•93358 


•37461 


.92718 


.39073 


.92050 


.40674 


•91355 


.42262 


.90631 





/ 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


/ 


6 


3° 


6( 


i° 


6 


7° 


6( 


5°. 


6 


5° 



BROWN & SHARPE MFG. CO. 

NATURAL SINES AND COSINES 



97 



/ 


25 





26 





27 





28° 


29° 


1 


Sine 


[Cosine 


Sine 


Cosine 


Sine 


C^osine 


Sine C 


osine 


Sine C 


osinc 







.42262 


.90631 


.43837 


.89879 


.45399 


.89101 


.46947 


88295 


.48481 


87462 


60 


I 


.422S8 


.90618 


■43863 


.89867 


.45425 


.89087 


■46973 


882S1 


.48506 


87448 


59 


2 


.42315 


.90606 


■43S89 


■S9S54 


.45451 


■89074 


■46999 


88267 


■48532 


87434 


58 


3 


.42341 


.90594 


■43916 


.89841 


■ 45477 


.89061 


■47024 


88254 


■48557 


87420 


57 


4 


.42367 


.90582 


■43942 


.89828 


.45503 


.89048 


.47050 


88240 


■485S3 


87406 


56 


5 


.42394 


.90569 


■43968 


.89816 


■ 45529 


■89035 


.47076 


88226 


.48608 


87391 


55 


6 


.42420 


.90557 


■43994 


.89803 


■45554 


.89021 


.47101 


88213 


.48634 


87377 


54 


7 


.42446 


.90545 


.44020 


■89790 


■45580 


.89008 


■47127 


88199 


.48659 


87363 


53 


8 


.42473 


.90532 


.44046 


■89777 


.45606 


.88995 


■47153 


88185 


.48684 


87349 


52 


9 


.42499 


.90520 


.44072 


.89764 


.45632 


.88981 


■47178 


88172 


.48710 


8733s 


SI 


10 


.42525 


.90507 


.44098 


.89752 


■45658 


.88968 


•47204 


88158 


.48735 


87321 


so 


11 


.42552 


.90495 


.44124 


.89739 


■45684 


■88955 


•47229 


88144 


.48761 


87306 


49 


12 


.42578 


.904S3 


■44151 


.89726 


■4S7IO 


.88942 


.47255 


88130 


.48786 


87292 


48 


13 


.42604 


.90470 


■ 44177 


■89713 


■45736 


.88928 


.47281 


88117 


.48811 


87278 


47 


14 


.42631 


.90458 


.44203 


.89700 


.45762 


.88915 


.47306 


88103 


.4S837 


87264 


46 


IS 


.42657 


.90446 


.44229 


.89687 


■45787 


.88902 


•47332 


88089 


.48862 


87250 


45 


i6 


.42683 


■90433 


■ 44255 


.89674 


■45813 


.88888 


•47358 


8807s 


.48888 


87235 


44 


17 


.42709 


.90421 


.44281 


.89662 


■45839 


.88875 


•47383 


88062 


■48913 


87221 


43 


l8 


.42736 


.90408 


■44307 


.89649 


■45865 


.88862 


■47409 - 


88048 


■48938 


87207 


42 


19 


.42762 


■90396 


■44333 


.89636 


■45891 


.88848 


■47434 


88034 


.48964 


87193 


41 


20 


.42788 


■90383 


■44359 


.89623 


•45917 


.8883s 


■47460 


88020 


.48989 


87178 


40 


21 


.42815 


.90371 


.44385 


.89610 


.45942 


.88822 


.47486 


88006 


.49014 


87164 


39 


22 


.42841 


■90358 


■ 44411 


■89597 


.45968 


.88S08 


•47511 


87993 


.49040 


87150 


38 


23 


.42867 


■90346 


■ 44437 


■89584 


■45994 


■88795 


•47537 


87979 


.49065 


87136 


37 


24 


.42894 


■90334 


.44464 


■89571 


.460-J 


.88782 


•47562 


87965 


.49090 


87121 


36 


25 


.42920 


.90321 


■44490 


■89558 


.46046 


.88768 


.47588 


87951 


.49116 


87107 


35 


26 


.42946 


.90309 


.44516 


■89545 


.46072 


-88755 


.47614 


87937 


.49141 


87093 


34 


27 


.42972 


.90296 


■ 44542 


■89532 


.46097 


■88741 


•47639 


87923 


.49166 


87079 


33 


28 


.42999 


.90284 


.44568 


■89519 


.46123 


.88728 


.47665 


87909 


.49192 


87064 


32 


29 


.43025 


.90271 


■44594 


.89506 


■46149 


.88715 


.47690 


87896 


■49217 


87050 


31 


30 


.43051 


.90259 


.44620 


■89493 


■46175 


.88701 


.47716 


87S82 


.49242 


87036 


30 


31 


.43077 


.90246 


.44646 


.89480 


.46201 


.88688 


•47741 


87868 


.49268 


87021 


29 


32 


.43104 


.90233 


■44672 


.89467 


.46226 


.88674 


.47767 


87854 


■49293 


87007 


28 


33 


.43130 


.90221 


.44698 


.89454 


.46252 


.88661 


•47793 


87840 


■49318 


86993 


27 


34 


.43156 


.90208 


■44724 ■ 


■89441 


.46278 


.8S647 


.47818 


87826 


•49344 


86978 


26 


3S 


.43182 


.90196 


.44750 


.89428 


.46304 


.88634 


•47844 


87812 


•49369 


86964 


25 


36 


.43209 


.90183 


■44776 


■89415 


.46330 


.88620 


•47869 


87798 


•49394 


86949 


24 


37 


.43235 


.90171 


.44S02 


.89402 


.46355 


.88607 


•47895 


87784 


•49419 


8693s 


23 


38 


.43261 


.90158 


.44828 


.89389 


.46381 


.88553 


•47920 


87770 


.49445 


86921 


22 


39 


.43287 


.90146 


.44854 


.S9376 


■46407 


■88580 


•47946 


87756 


.49470 


86906 


21 


40 


.43313 


■90133 


.44880 


.89363 


■46433 


.88566 


.47971 


87743 


.49495 


86892 


20 


41 


.43340 


.90120 


.44906 


■89350 


.46458 


■88553 


.47997 


87729 


•49521 


86878 


19 


42 


■43366 


.90108 


■44932 


•89337 


.464S4 


■88539 


.48022 


87715 


•49546 


86863 


18 


43 


.43392 


.90095 


■44958 


■89324 


.46510 


.88526 


.48048 


87701 


•49571 


86849 


17 


44 


.43418 


.90082 


■ 44984 


.89311 


.46536 


.88512 


■48073 


87687 


•49596 


86834 


16 


45 


.43445 


.90070 


■45010 


.89298 


.46561 


.88499 


.48099 


87673 


.,•49622 


86820 


15 


46 


.43471 


■90057 


■45036 


.89285 


■46587 


.88485 


.48124 


87659 


.49647 


8680s 


14 


47 


.43497 


.90045 


.45062 


.89272 


■46613 


.88472 


.48150 


87645 


.49672 


86791 


13 


48 


.43523 


.90032 


.45088 


■89259 


■46639 


.88458 


■48175 


87631 


.49697 


86777 


12 


49 


.43549 


.gooig 


■45114 


■8924s 


.46664 


.88445 


.48201 


87617 


•49723 


86762 


11 


SO 


.43575 


.90007 


■45140 


.89232 


.46690 


.88431 


.48226 


87603 


.49748 


86748 


10 


SI 


.43602 


.89994 


.45166 


.89219 


.46716 


.88417 


.48252 


87589 


•49773 


86733 


9 


52 


.43628 


.89981 


• 45192 


.89206 


.46742 


.88404 


■48277 


87575 


.49798 


86719 


8 


S3 


.43654 


.89968 


.45218 


■89193 


.46767 


.88390 


■48303 


87561 


.49824 


86704 


7 


54 


.43680 


.89956 


■ 45243 


.89180 


■46793 


■88377 


■48328 


87546 


•49849 


86690 


6 


55 


.43706 


.89943 


.45269 


.89167 


.46819 


■88363 


■48354 


87532 


•49874 


86675 


S 


£6 


.43733 


•89930 


■45295 


■89153 


.46844 


■88349 


■48379 


87518 


.49899 


86661 


4 


57 


.43759 


.89918 


.45321 


.89140 


.46870 


.88336 


■48405 


87504 


•49924 


86646 


3 


S8 


.43785 


.89905 


.45347 


■89127 


.46896 


.88322 


■48430 


87490 


.49950 


86632 


2 


59 


.43811 


.89892 


•45373 


.89114 


.46921 


.88308 


■48456 


87476 


•49975 


86617 


I 


60 


.43837 


.89879 


■45399 


.89101 


■46947 


.88295 


.48481 


87462 


.50000 


86603 





/ 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


/ 


64 





63 





62 





61' 


) 


60' 


3 



98 BROWN & SHARPE MFG. CO. 

NATURAL SINES AND COSINES 



/ 


30 





31 





32 





33 





34° 


1 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 





.50000 


.86603 


■51504 


.85717 


■52992 


.84805 


.54464 


.83867 


.55919 


.82904 


60 


I 


.5002s 


.86588 


■S1529 


.85702 


.53017 


.84789 


.54488 


.83851 


.55943 


.82887 


59 


2 


.50050 


•86573 


■51554 


.85687 


.53041 


.84774 


■S4SI3 


.83835 


.55968 


.82871 


58 


3 


.50076 


•86559 


•51579 


.85672 


.53066 


.84759 


■54537 


.83819 


•55992 


.82855 


57 


4 


.50101 


•86544 


.51604 


•85657 


■53091 


.84743 


.54561 


.83804 


.56016 


.82839 


56 


S 


.50126 


.86530 


.51628 


•85642 


.53115 


.84728 


■54S86 


.83788 


.56040 


.82822 


55 


6 


.50151 


.86515 


.51653 


.85627 


..53140 


.84712 


■S4610 


.83772 


.56064 


.82806 


54 


7 


.50176 


.86501 


.51678 


.85612 


■53164 


.84697 


.54635 


.83756 


.56088 


.82790 


S3 


8 


.50201 


.86486 


•51703 


•85597 


■53189 


.84681 


.54659 


■83740 


.56112 


.82773 


52 


9 


.50227 


.86471 


•5 1728 


.85582 


.53214 


.84666 


.54683 


■83724 


.56136 


.82757 


51 


10 


.50252 


.86457 


•S1753 


.85567 


■53238 


.84650 


.54708 


.83708 


.56160 


.82741 


50 


II 


.50277 


.86442 


.51778 


.85551 


.53263 


.84635 


.54732 


.83692 


■.56184 


.82724 


49 


12 


.50302 


.86427 


.51803 


•85536 


.53288 


.84619 


.54756 


.83676 


.56208 


.82708 


48 


13 


.50327 


.86413 


.51828 


.85521 


.53312 


.84604 


.54781 


.83660 


.56232 


.82692 


47 


14 


.50352 


.86398 


•S1852 


.85506 


■53337 


.84588 


•5480s 


.83645 


.56256 


.82675 


46 


IS 


■50377 


.86384 


.51877 


.85491 


■53361 


■84573 


•54829 


.83629 


.56280 


.82659 


4S 


16 


.50403 


.86369 


.51902 


•85476 


.53386 


.84557 


•54854 


.83613 


.56305 


.82643 


44 


17 


.50428 


.86354 


.51927 


.85461 


.53411 


.84542 


•54878 


■83597 


.56329 


.82626 


43 


18 


.50453 


.86340 


.51952 


.85446 


.53435 


.84526 


•54902 


■83581 


.56353 


.82610 


42 


19 


.50478 


.86325 


.51977 


•85431 


.53460 


.84511 


.54927 


.83565 


•56377 


.82593 


41 


20 


.50503 


.86310 


.52002 


.85416 


.53484 


.84495 


.54951 


.83549 


•56401 


.82577 


40 


21 


.50528 


.86295 


.52026 


.85401 


.53509 


.84480 


•S497S 


.83533 


•5642s 


.82561 


39 


22 


.50553 


.86281 


.52051 


.85385 


.53534 


.84464 


.54999 


.83517 


•56449 


.82544 


38 


23 


.50578 


.86266 


.52076 


.85370 


.53558 


.84448 


.55024 


.83501 


•56473 


.82528 


37 


24 


.50603 


.86251 


.52101 


.85355 


.53583 


.84433 


.55048 


.83485 


.56497 


.82511 


36 


2S 


.50628 


.86237 


.52126 


.85340 


.53607 


.84417 


•55072 


.83469 


.56521 


.82495 


35 


26 


.50654 


.86222 


•52151 


.8532s 


.53632 


.84402 


•55097 


.83453 


.56545 


.82478 


34 


27 


.50679 


.86207 


.5217s 


.85310 


.53656 


.84386 


•55121 


.83437 


.56569 


.82462 


33 


28 


.50704 


.86192 


.52200 


.85294 


.53681 


.84370 


•55145 


.83421 


•56593 


.82446 


32 


29 


.50729 


.86178 


.52225 


.85279 


.53705 


.84355 


.55169 


.83405 


.56617 


.82429 


31 


30 


.50754 


.86163 


.52250 


.85264 


.53730 


■84339 


•55194 


.83389 


.56641 


.82413 


30 


31 


.50779 


.86148 


•S227S 


.85249 


•53754 


■84324 


.55218 


.83373 


.5666s 


.82396 


29 


32 


.50804 


.86133 


•52299 


•85234 


•53779 


.84308 


.55242 


.83356 


.56689 


.82380 


28 


33 


.50829 


.86119 


•52324 


.85218 


•53804 


.84292 


.55266 


.83340 


•56713 


.82363 


27 


34 


.50854 


.86104 


•52349 


.85203 


•53828 


■84277 


.55291 


.83324 


•56736 


.82347 


26 


3S 


.50879 


.86089 


•52374 


.85188 


•53853 


.84261 


•55315 


.83308 


.56760 


.82330 


25 


36 


.50904 


.86074 


.52399 


•85173 


■53877 


.84245 


•S5339 


.83292 


.56784 


.82314 


24 


37 


.50929 


.86059 


.52423 


•85157 


.53902 


.84230 


.55363 


.83276 


•56808 


.82297 


23 


38 


.50954 


.86045 


.52448 


.85142 


.53926 


.84214 


.55388 


.83260 


•56832 


.82281 


22 


39 


.50979 


.86030 


•52473 


.85127 


.53951 


.84198 


•55412 


.83244 . 


•56856 


.82264 


21 


40 


.51004 


.86015 


•52498 


.85112 


•S3975 


.84182 


.55436 


.83228 


.56880 


.82248 


20 


41 


.51029 


.86000 


.52522 


.85096 


.54000 


.84167 


.55460 


.83212 


.56904 


.82231 


19 


42 


.51054 


.85985 


.52547 


.85081 


■54024 


.84151 


•55484 


.83195 


.56928 


.82214 


18 


43 


.51079 


.85970 


.52572 


.85066 


■54049 


.84135 


•55509 


.83179 


.56952 


.82198 


17 


44 


.51104 


.85956 


•52597 


.85051 


■54073 


.84120 


•55533 


.83163 


.56976 


.82181 


16 


45 


.51129 


.85941 


.52621 


.85035 


■54097 


.84104 


•S5SS7 


.83147 


.57000 


.82165 


15 


46 


.51154 


.85926 


.52646 


.85020 


■54122 


.84088 


■55581 


.83131 


.57024 


.82148 


14 


47 


■51179 


.85911 


.52671 


.85005 


.54146 


.84072 


■55605 


.83115 


.57047 


.82132 


13 


48 


.51204 


.85896 


.52696 


.84989 


■54171 


.84057 


■55630 


.83098 


.57071 


.8211S 


12 


49 


.51229 


.85881 


.52720 


.84974 


.54195 


.84041 


■55654 


.83082 


.57095 


.82098 


11 


SO 


.51254 


.85866 


.52745 


.84959 


■54220 


.84025 


■55678 


.83066 


.57119 


.82082 


10 


SI 


■51279 


.85851 


.52770 


.84943 


■54244 


.84009 


■55702 


.83050 


.57143 


.82065 


9 


S2 


•51304 


.85836 


.52794 


.84928 


■54269 


.83994 


.55726 


.83034 


.57167 


.82048 


8 


S3 


■51329 


.85821 


.52819 


.84913 


.54293 


.83978 


.55750 


.83017 


.57191 


.82032 


7 


S4 


•51354 


.85806 


.52844 


.84897 


.54317 


.83962 


■55775 


.83001 


.57215 


.82015 


6 


SS 


.51379 


•85792 


.52869 


.84882 


.54342 


.83946 


.55799 


.82985 


.57238 


.81999 


5 


S6 


•51404 


.85777 


•52893 


.84866 


■54366 


.83930 


.55823 


.82969 


.57262 


.81982 


4 


57 


•51429 


•85762 


.52918 


.84851 


■S439I 


.83915 


.55847 


•82953 


.57286 


.81965 


3 


58 


•51454 


•85747 


.52943 


.84836 


■54415 


.83899 


.55871 


.82936 


.57310 


.81949 


2 


59 


•51479 


.85732 


.52967 


.84820 


■54440 


.83883 


.55895 


.82920 


•57334 


.81932 


I 


60 


•S1504 


.85717 


.52992 


.84805 


.54464 


.83867 


.55919 


.82904 


.57338 


.8191S 





/ 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


/ 


59 





58 





57 





56 





51 




) 



BROWN & SHARPE MFG. CO. 



99 



NATURAL SINES AND COSINES 



/ 


35 





36 





37° 


38 





39° 


/ 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 





.57358 


.8191S 


.5^779 


.80902 


.60182 


.79864 


.61566 


.78801 


.62932 


.77715 


60 


I 


.57381 


.81899 


■SSSoi 


.80885 


.60205 


.79846 


.61589 


.78783 


.62955 


.77696 


59 


2 


.57405 


.8188-' 


.SSS26 


.80867 


.60228 


.79829 


.61612 


.78765 


.62977 


.77678 


58 


3 


.57429 


.81865 


.5SS49 


.80850 


.60251 


.79811 


.61635 


.78747 


.63000 


.77660 


57 


4 


.57453 


.81848 


.58873 


.80833 


.60274 


.79793 


.61658 


.78729 


.63022 


.77641 


56 


S 


•57477 


.81832 


.58896 


.80816 


.60298 


.79776 


.61681 


.78711 


.63045 


■77623 


55 


6 


.57501 


.81815 


.58920 


.80799 


.60321 


.79758 


.61704 


.78694 


.63068 


.77605 


54 


7 


.57524 


.81798 


.58943 


.80782 


.60344 


.79741 


.61726 


.78676 


.63090 


.77586 


53 


8 


.57548 


.81782 


.58967 


.80765 


.60367 


.79723 


.61749 


.78658 


.63113 


.77568 


52 


9 


.57572 


.8176s 


.58990 


.80748 


.60390 


.79706 


.61772 


.78640 


.63135 


.77550 


51 


10 


.57596 


.81748 


.59014 


.80730 


.60414 


.79688 


.6x795 


.78622 


.63158 


.77531 


so 


II 


.57619 


.81731 


.59037 


.80713 


.60437 


.79671 


.61818 


.78604 


.63180 


.77513 


49 


12 


.57643 


.81714 


.59061 


.80696 


.60460 


.79653 


.61841 


.78586 


.63203 


.77494 


48 


13 


.57667 


.81698 


.59084 


.80679 


.60483 


.79635 


.61864 


.78568 


.63225 


.77476 


47 


14 


.57691 


.81681 


.59108 


.80662 


.60506 


.79618 


.61887 


.78550 


.63248 


.77458 


46 


IS 


.57715 


.81664 


.59131 


.80644 


.60529 


.79600 


.61909 


.78532 


.63271 


.77439 


45 


i6 


.57738 


.81647 


.59154 


.80627 


.60553 


.79583 


.61932 


.78514 


.63293 


.77421 


44 


17 


.57762 


.81631 


.59178 


.80610 


.60576 


.79565 


.61955 


.78496 


.63316 


.77402 


43 


i8 


.57786 


.81614 


.59201 


.80593 


.60599 


.79547 


.61978 


.78478 


.63338 


.77384 


42 


19 


.57810 


.81597 


.59225 


.80576 


.60622 


.79530 


.62001 


.78460 


.63361 


.77366 


41 


20 


.57833 


.81580 


.59248 


.80558 


.60645 


.79512 


.62024 


.78442 


.63383 


.77347 


40 


21 


.57857 


.81563 


.59272 


.80541 


.60668 


.79494 


.62046 


.78424 


.63406 


.77329 


39 


22 


.57881 


.81546 


.59295 


.80524 


.60691 


.79477 


.62069 


.78405 


.63428 


.77310 


38 


23 


.57904 


.81530 


.59318 


.80507 


.60714 


.79459 


.62092 


.78387 


.63451 


.77292 


37 


24 


.57928 


.81513 


.59342 


.80489 


.60738 


.79441 


.62115 


.78369 


.63473 


.77273 


36 


25 


.57952 


.81496 


.59365 


.80472 


.60761 


.79424 


.62138 


.78351 


.63496 


.77255 


35 


26 


.57976 


.81479 


.59389 


.80455 


.60784 


.79406 


.62160 


.78333 


.63518 


.77236 


34 


27 


.57999 


.81462 


.59412 


.80438 


.60807 


.79388 


.62183 


.78315 


.63540 


.77218 


33 


28 


.58023 


.81445 


.59436 


.80420 


.60830 


.79371 


.62206 


.78297 


.63563 


.77199 


32 


29 


.58047 


.81428 


.59459 


.80403 


.60853 


.79353 


.62229 


.78279 


.63585 


.77181 


31 


30 


.58070 


.81412 


.59482 


.80386 


.60876 


.79335 


.62251 


.78261 


.63608 


.77162 


30 


31 


.58094 


.8139s 


.59506 


.80368 


.60899 


.79318 


.62274 


.78243 


.63630 


.77144 


29 


32 


.58118 


.81378 


.59529 


.80351 


.60922 


.79300 


.62297 


.78225 


.63653 


.7712s 


28 


33 


.58141 


.81361 


.59552 


.80334 


.60945 


.79282 


.62320 


.78206 


.63675 


.77107 


27 


34 


.58165 


.81344 


.59576 


.80316 


.60968 


.79264 


.62342 


.78188 


.63698 


.77088 


26 


35 


.58189 


.81327 


.59599 


.80299 


.60991 


.79247 


.6236s 


.78170 


.63720 


.77070 


25 


36 


.58212 


.81310 


.59622 


.80282 


.61015 


.79229 


.62388 


.78152 


.63742 


.77051 


24 


37 


.58236 


.81293 


.59646 


.80264 


.61038 


.79211 


.62411 


.78134 


.63765 


.77033 


23 


38 


.58260 


.81276 


.59669 


.80247 


.61061 


.79193 


.62433 


.78116 


.63787 


.77014 


22 


39 


.58283 


.81259 


.59693 


.80230 


.61084 


.79176 


.62456 


.78098 


.63810 


.76996 


21 


40 


.58307 


.81242 


.59716 


.80212 


.61107 


.79158 


.62479 


.78079 


.63832 


.76977 


20 


41 


.58330 


.81225 


.59739 


.80195 


.61130 


.79140 


.62502 


.78061 


.63854 


.76959 


19 


42 


.58354 


.81208 


.59763 


.80178 


.61153 


.79122 


.62524 


.78043 


.63877 


.76940 


18 


43 


.58378 


.81191 


.59786 


.80160 


.61176 


.79105 


.62547 


.78025 


.63899 


.76921 


17 


44 


.58401 


.81174 


.59809 


.80143 


.61199 


.79087 


.62570 


.78007 


.63922 


.76903 


16 


45 


.58425 


.81157 


.59832 


.80125 


.61222 


.79069 


.62592 


.77988 


.63944 


.76884 


15 


46 


.58449 


.81140 


.59856 


.80108 


.61245 


.79051 


.62615 


.77970 


.63966 


.76866 


14 


47 


.58472 


.81123 


.59879 


.80091 


.61268 


.79033 


.62638 


.77952 


.63989 


.76847 


13 


48 


.58496 


.81106 


.59902 


.80073 


.61291 


.79016 


.62660 


.77934 


.64011 


.76828 


12 


49 


.5S519 


.81089 


.59926 


.80056 


.61314 


.78998 


.62683 


.77916 


.64033 


.76810 


11 


50 


.38543 


.81072 


.59949 


.80038 


.61337 


.78980 


.62706 


.77897 


.64056 


.76791 


10 


SI 


.58567 


.810SS 


.59972 


.80021 


.61360 


.78962 


.62728 


.77879 


.64078 


.76772 


9 


52 


.58590 


.81038 


.59995 


.80003 


.61383 


.78944 


.62751 


.77861 


.64100 


.76754 


8 


S3 


.38614 


.81021 


.60019 


.79986 


.61406 


.78926 


.62774 


.77843 


.64123 


.76735 


7 


54 


.58637 


.81004 


.60042 


.79968 


.61429 


.78908 


.62796 


.77824 


.64145 


.76717 


6 


55 


.36661 


.80987 


.60065 


.79951 


.61451 


.78891 


.62819 


.77806 


.64167 


.76698 


5 


56 


.58684 


.80970 


.60089 


.79934 


.61474 


.78873 


.62842 


.77788 


.64190 


.76679 


4 


57 


.58708 


■80953 


.60112 


.79916 


.61497 


.78855 


.62864 


.77769 


.64212 


.76661 


3 


58 


.58731 


.80936 


.60135 


.79899 


.61520 


.7S837 


.62887 


.77751 


.64234 


.76642 


2 


59 


.58755 


.80919 


.60158 


.79881 


.61543 


.78819 


.62909 


.77733 


.64256 


.76623 


I 


60 


.58779 


.80902 


.60182 


.79864 


.61566 


.78801 


.62932 


.77715 


.64279 


.76604 





1 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


/ 


54 





53 





5: 


2° 


51 





5 


0° 



LOFC, 



BROWN & SHARPE MFG. CO. 

NATURAL SINES AND COSINES 



/ 


40° 


41 





42° 


43° 


44° 


/ 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine C 


;osine 





.64279 


.76604 


.65606 


•7S47I 


.66913 


.74314 


.68200 


.73135 


.69466 


71934 


60 


I 


.64301 


.76586 


.65628 


.75452 


.6693s 


.74295 


.68221 


.73116 


.69487 


71914 


59 


2 


.64323 


.76567 


.65650 


.75433 


.66956 


.74276 


.68242 


.73096 


.69508 


71894 


58 


3 


.64346 


.76548 


.65672 


.75414 


.66978 


.74256 


.68264 


.73076 


.69529 


71873 


57 


4 


.64368 


.76530 


.65694 


.75395 


.66999 


.74237 


.68285 


.73056 


.69549 


71853 


S6 


S 


.64390 


.76511 


.65716 


•75375 


.67021 


.74217 


.68306 


.73036 


.69570 


71833 


SS 


6 


.64412 


.76492 


.65738 


.75356 


.67043 


.74198 


.68327 


.73016 


.69591 


71813 


54 


7 


.64435 


.76473 


.65759 


.75337 


.67064 


.74178 


.68349 


.72996 


.69612 


71792 


S3 


8 


.64457 


.76455 


.65781 


.75318 


.67086 


.74159 


.68370 


.72976 


.69633 


71772 


S2 


9 


.64479 


.76436 


.65803 


.75299 


.67107 


.74139 


.68391 


.72957 


.69654 


71752 


51 


10 


.64501 


.76417 


.65825 


.75280 


.67129 


.74120 


.68412 


.72937 


.69675. 


71732 


SO 


II 


.64524 


.76398 


.65847 


.75261 


.67151 


.74100 


.68434 


.72917 


.69696 


71711 


49 


12 


.64546 


.76380 


.65869 


.75241 


.67172 


.74080 


.68455 


.72897 


.69717 


71691 


48 


13 


.64568 


.76361 


.65891 


.75222 


.67194 


.74061 


.68476 


.72877 


.69737 


71671 


47 


14 


.64590 


.76342 


.65913 


.75203 


.6721S 


.74041 


.68497 


.72857 


.69758 


71650 


46 


IS 


.64612 


.76323 


.65935 


.75184 


.67237 


.74022 


.68518 


.72837 


.69779 


71630 


45 


i6 


.64635 


.76304 


.65956 


.75165 


.67258 


.74002 


.68539 


.72817 


.69800 


71610 


44 


17 


.64657 


.76286 


.65978 


.75146 


.67280 


.73983 


.68561 


.72797 


.69821 


71590 


43 


i8 


.64679 


.76267 


.66000 


.75126 


.67301 


.73963 


.68582 


.72777 


.6.842 


71569 


42 


19 


.64701 


.76248 


.66022 


.75107 


.67323 


.73944 


.68603 


.72757 


.69^62 


71549 


41 


20 


.64723 


.76229 


.66044 


.75088 


.67344 


.73924 


.68624 


.72737 


.69883 


71529 


40 


21 


.64746 


.76210 


.66066 


.75069 


.67366 


.73904 


.6864s 


■72717 


.69904 


71508 


39 


22 


.64768 


.76192 


.66088 


.75050 


.67387 


.73885 


.68666 


.72697 


.69925 


71488 


38 


23 


.64790 


.76173 


.66109 


.75030 


.67409 


.73865 


.68688 


■72677 


.69946 


71468 


37 


24 


.64812 


.76154 


.66131 


.75011 


.67430 


.73846 


.68709 


.72657 


.69966 


71447 


36 


2S 


.64834 


.76135 


.66153 


.74992 


.67452 


.73826 


.68730 


.72637 


.69987 


71427 


35 


26 


.648S6 


.76116 


.66175 


.74973 


.67473 


.73806 


.68751 


.72617 


.70008 


71407 


34 


27 


.64878 


.76097 


.66197 


.74953 


.67495 


.73787 


.6S772 


.72597 


.70029 


71386 


33 


28 


.64901 


.76078 


.66218 


.74934 


.67516 


.73767 


.6S793 


.72577 


.70049 


71366 


32 


29 


.64923 


.76059 


.66240 


.74915 


.67538 


.73747 


.6S814 


.72557 


.70070 


71345 


31 


30 


.64945 


.76041 


.66262 


.74896 


.67559 


.73728 


.6SS3S 


.72537 


.70091 


71325 


30 


31 


.64967 


.76022 


.66284 


.74876 


.67580 


.73708 


.68857 


.72517 


.70112 


7 1 30s 


29 


32 


.64989 


.76003 


.66306 


.74857 


.67602 


.73688 


.68878 


.72497 


.70132 


71284 


28 


33 


.65011 


.75984 


.66327 


.74838 


.67623 


.73669 


.68899 


.72477 


.70153 


71264 


27 


34 


.65033 


.75965 


.66349 


.74818 


.67645 


.73649 


.68920 


.72457 


.70174 


71243 


26 


35 


.65055 


.75946 


.66371 


.74799 


.67666 


.73629 


.68941 


.72437 


.70195 


71223 


25 


36 


.65077 


.75927 


.66393 


.74780 


.67688 


.73610 


.68962 


.72417 


.70215 


71203 


24 


37 


.65100 


.75908 


.66414 


.74760 


.67709 


.73590 


.68983 


.72397 


.70236 


71182 


23 


38 


.65122 


.75889 


.66436 


.74741 


.67730 


.73570 


.69004 


.72377 


.70257 


71162 


22 


39 


.65144 


.75870 


.66458 


.74722 


.67752 


.73551 


.69025 


.72357 


.70277 


71141 


21 


40 


.65166 


.75851 


.66480 


.74703 


.67773 


.73531 


.69046 


.72337 


.70298 


71121 


20 


41 


.65188 


.75832 


.66501 


.74683 


.67795 


.73511 


.69067 


.72317 


.70319 


71100 


19 


42 


.65210 


.75813 


.66523 


.74664 


.67816 


.73491 


.69088 


.72297 


.70339 


71080 


18 


43 


.65232 


.75794 


.66545 


.74644 


.67837 


.73472 


.69109 


.72277 


.70360 


71059 


17 


44 


.65254 


.75775 


.66566 


.74625 


.67859 


.73452 


.69130 


.72257 


.70381 


71039 


16 


4S 


.65276 


.75756 


.66588 


.74606 


.67880 


.73433 


.69151 


.72236 


.70401 


71019 


IS 


46 


.65298 


.75738 


66610 


.74586 


.67901 


.73413 


.69172 


.72216 


.70422 


70998 


14 


47 


.65320 


.75719 


.66632 


.74567 


.67923 


.73393 


.69193 


.72196 


.70443 


70978 


13 


48 


.65342 


.75700 


.66653 


.74548 


.67944 


.73373 


.69214 


.72176 


.70463 


70957 


12 


49 


.65364 


.75680 


.66675 


.74528 


.67965 


.73353 


.69235 


.72156 


.70484 


70937 


11 


SO 


.65386 


.75661 


.66697 


.74509 


.67987 


.73333 


.69256 


.72136 


.70505 


70916 


10 


SI 


.65408 


.75642 


.66718 


.74489 


.68008 


.73314 


.69277 


.72116 


.70525 


70896 


9 


52 


.65430 


.75623 


.66740 


.74470 


.68029 


.73294 


.69298 


.7209s 


.70546 


7087s 


8 


S3 


.65452 


.75604 


.66762 


.74451 


.68051 


.73274 


.69319 


.72075 


.70567 


7085s 


7 


54 


.65474 


.75585 


.66783 


.74431 


.68072 


.73254 


.69340 


.72055 


.70587 


70834 


6 


SS 


.65496 


.75566 


.6680S 


.74412 


.68093 


.73234 


.69361 


.72035 


.70608 


70813 


S 


56 


.65518 


.75547 


.66827 


.74392 


.68115 


.73215 


.69382 


.72015 


.70628 


70793 


4 


57 


.65540 


.75528 


.66848 


.74373 


.68136 


.73195 


.69403 


.71995 


.70649 


70772 


3 


S8 


.65562 


.75509 


.66870 


.74353 


.68157 


.73175 


.69424 


.71974 


.70670 


70752 


2 


59 


.65584 


.75490 


.66891 


.74334 


.68179 


.73155 


.69445 


.71954 


.70690 


70731 


I 


6o 


.65606 


.75471 


.66913 


.74314 


.68200 


.7313s 


.69466 


.71934 


.70711 


7071 1 





/ 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


Cosine 


Sine 


/ 


4 


5° 


4i 


i° 


4 


7° 


4< 


5° 


45' 


3 



BROWN & SHARPE MFG. CO. 



lOI 



NATURAL TANGENTS AND COTANGENTS 



/ 









I 


2 





3 





4° 


/ 


Tang: 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 





.00000 


Infinite 


.01746 


57.2900 


.03492 


28.6363 


.05241 


19.0811 


.06993 


14.3007 


60 


I 


.00029 


3437.75 


.01775 


56^3506 


.03521 


28.3994 


.05270 


18.975s 


.07022 


14.2411 


59 


2 


.00058 


1718.87 


.01804 


55.4415 


.03550 


28.1664 


.05299 


18.8711 


.07051 


14.1821 


58 


3 


.00087 


1145.92 


.01833 


54.5613 


.03579 


27.9372 


.05328 


18.7678 


.07080 


14.1235 


57 


4 


.00116 


859.436 


.01862 


5'3.7o86 


.03609 


27.7117 


.05357 


18.6656 


.07110 


14.0655 


56 


S 


.00145 


687.549 


.01891 


52.8821 


.03638 


27.4899 


.05387 


18.5645 


.07139 


14.0079 


55 ■ 


6 


.00175 


572.957 


.01920 


52.0807 


.03667 


27.2715 


.05416 


18.4645 


.07168 


13.9507 


54 


7 


.00204 


491.106 


•01949 


51.3032 


.03696 


27.0566 


.05445 


18.3655 


.07197 


13.8940 


S3 


8 


.00233 


429.718 


.01978 


50-5485 


.03725 


26.8450 


.05474 


18.2677 


.07227 


13-8378 


52 


9 


.00262 


381.971 


.02007 


49-8157 


.03754 


26.6367 


.05503 


18.1708 


.07256 


13-7821 


51 


10 


.00291 


343-774 


.02036 


49-1039 


.03783 


26.4316 


.05533 


18.0750 


.07285 


13-7267 


50 


II 


.00320 


312.521 


.02066 


48.4121 


.03812 


26.2296 


.05562 


17.9802 


-07314 


13-6719 


49 


12 


.00349 


286.478 


.02095 


47-7395 


.03842 


26.0307 


.05591 


17.8863 


•07344 


13.6174 


48 


13 


.00378 


264.441 


.02124 


47-0853 


.03871 


25.8348 


.05620 


17-7934 


•07373 


13-5634 


47 


14 


.00407 


245.552 


.02153 


46-4489 


.03900 


25.6418 


.05649 


17-7015 


.07402 


13.5098 


46 


IS 


.00436 


229.182 


.02182 


45.8294 


.03929 


25.4517 


.05678 


17-6106 


.07431 


13-4566 


45 


i6 


.0046s 


214.858 


.02211 


45-2261 


.03958 


25.2644 


.05708 


17.5205 


.07461 


13.4039 


44 


17 


.00493 


202.219 


.02240 


44-6386 


.03987 


25.0798 


.05737 


17.4314 


.07490 


l3-33!5 


43 


i8 


.00524 


190.984 


.02269 


44-0661 


.04016 


24.8978 


.05766 


17-3432 


.07519 


I3.2C96 


42 


19 


.00553 


180.932 


.02298 


43-5081 


.04046 


24-7185 


.05795 


17.2558 


.07548 


13-2480 


41 


20 


.00582 


171.885 


.02328 


42.9641 


-0407s 


24.5418 


.05824 


17.1693 


.07578 


13-1969 


40 


21 


.00611 


163.700 


.02357 


42.4335 


.04104 


24.3675 


.05854 


17.0837 


.07607 


13-1461 


39 


22 


.00640 


156.259 


.02386 


41.9158 


•04133 


24-1957 


.05883 


16.9990 


.07636 


13-0958 


38 


23 


.00669 


149-465 


.0241S 


41.4106 


.04162 


24-0263 


.05912 


16.9150 


.07665 


13-0458 


37 


24 


.00698 


143-237 


.02444 


40.9174 


.04191 


23-8593 


.05941 


16.8319 


•0769s 


12.9962 


36 




.00727 


137-507 


.02473 


40.4358 


.04220 


23.6945 


.05970 


16.7496 


.07724 


12.9469 


35 


26 


.CC756 


132.219 


.02502 


39.9655 


.04250 


23.5321 


.05999 


16.6681 


.07753 


12.8981 


34 


27 


.00785 


127.321 


.02531 


39-50S9 


.04279 


23.3718 


.06029 


16.5874 


.07782 


12.8496 


33 


28 


.0081S 


122.774 


.02560 


39.0568 


.04308 


23.2137 


.06058 


16.5075 


.07812 


12.8014 


52 


29 


.00844 


118.540 


.02589 


38-6177 


.04337 


23.0577 


.06087 


16.4283 


.07841 


12.7536 


31 


30 


.00873 


114-589 


.02^19 


38.1885 


.04366 


22.9038 


.06116 


16.3499 


.07870 


12.7062 


30 


31 


.00902 


110.892 


.02648 


37.7686 


.04395 


22.7519 


.0614s 


16.2722 


.07899 


12.6591 


29 


32 


.00931 


107.426 


.02677 


37.3579 


.04424 


22.6020 


.06175 


16.1952 


.07929 


12.6124 


28 


33 


.C0960 


104.171 


.02706 


36.9560 


.04454 


22.4541 


.06204 


16.1190 


•07958 


12.5660 


27 


34 


.00989 


101.107 


.02735 


36-5627 


•04483 


22.3081 


.06233 


16.0435 


•07987 


12.5199 


26 


35 


.01018 


98. 2179 


.02764 


36-1776 


•04512 


22.1640 


.06262 


15.9687 


.08017 


12.4742 


25 


36 


.01047 


95.489s 


.02793 


35-8006 


•0454 1 


22.0217 


.06291 


15.8945 


.08046 


12.4288 


24 


37 


.01076 


92.9085 


.02822 


33.4313 


•04570 


21.8813 


.06321 


15.8211 


.08075 


12.3S38 


23 


38 


.01103 


90.4633 


.02851 


35-0695 


•04599 


i 1.7426 


.06350 


15-7483 


.08104 


12.3390 


22 


39 


.01133 


88. 1436 


.02881 


34-7151 


.04628 


21.6056 


.06379 


15-6762 


.08134 


12.29.36 


21 


40 


.01164 


85.9398 


.02910 


34.3678 


.04658 


21.4704 


.06408 


15.6048 


.08163 


12.2505 


20 


41 


.01193 


83.843s 


.02939 


34.0273 


.04687 


21.3369 


.06437 


15-5340 


.08192 


12.2067 


19 


42 


.01222 


81.8470 


.02968 


33.6935 


.04716 


21.2049 


.06467 


15.4638 


.08221 


12.1632 


18 


43 


.01231 


79-9434 


.02997 


33-3662 


.04743 


21.0747 


.06496 


15-3943 


.08251 


12.1201 


17 


44 


.01280 


78-1263 


.03026 


33-0452 


•04774 


20.9460 


.06525 


15-3254 


.08280 


12.0772 


16 


4S 


.01309 


76.3900 


•03055 


32.7303 


.04803 


20.8188 


•06554 


1S^2S7I 


.0S309 


12.0346 


15 


46 


.01:33 


74-7292 


.03084 


32.4213 


.04833 


20.6932 


.06584 


iS^i893 


.0S339 


11.9923 


14 


47 


.01367 


73-1390 


.03114 


32.1181 


.04862 


20.5691 


.06613 


15.1222 


.08368 


11.9504 


13 


48 


.01396 


71.6151 


.03143 


31.8205 


.04891 


20.4465 


.06642 


15.0557 


.08397 


11.9087 


12 


49 


.01423 


70.1533 


.03172 


31.5284 


.04920 


20.3253 


.06671 


14-9898 


.08427 


11-8673 


11 


SO 


•01433 


68.7501 


.03201 


31.2416 


.04949 


20.2056 


.06700 


14-9244 


.08456 


11.8262 


10 


SI 


.01484 


67.4019 


.03230 


30.9599 


.04978 


20.0872 


.06730 


14.8596 


.08485 


11.7853 


9 


S2 


.01513 


66.105s 


.03259 


30.6833 


.05007 


19.9702 


.06759 


14-7954 


.08514 


11.7448 


8 


S3 


.01342 


64.8580 


.03288 


30.4116 


.05037 


19-8546 


.06788 


14-7317 


.08544 


11.7045 


7 


54 


.01571 


63.6367 


•03317 


30.1446 


.05066 


19-7403 


.06817 


14-6685 


.08573 


11.6645 


6 


55 


.01600 


62.4992 


•03346 


29.8823 


.05095 


19-6273 


.06847 


14-6059 


.08602 


11.6248 


S 


56 


.01629 


61.3829 


•03376 


29-6245 


.05124 


19-5156 


.06876 


14-5438 


.08632 


11.5853 


4 


57 


.0165S 


60.3058 


•0340s 


29.3711 


.05153 


19.4051 


.06905 


14-4823 


.08661 


11.5461 


3 


58 


.01687 


59.2659 


•03434 


29.1220 


.05182 


19.2959 


.06934 


14.4212 


.08690 


11-5072 


2 


59 


.01716 


58.2612 


•03463 


28.8771 


.05212 


19.1879 


.06963 


14-3607 


.08720 


11.4685 


1 


6o 


.01746 


57.2900 


.03492 


28.6363 


.05241 


19.0811 


.06993 


14.3007 


.08749 


11.4301 





/ 


Cotang 


Tang: 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


/ 


8( 


)° 


88° 


8: 


7° 


8( 


3° 


8. 


-0 

3 



I02 



BROWN & SHARPE MFG. CO. 



NATURAL TANGENTS AND COTANGENTS 



1 


5° 


6 





7 





8° 


9 


° 


/ 


Tangr 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 





.08749 


II. 4301 


.10510 


9-S1436 


.12278 


8.I443S 


.14054 


7.11537 


.15838 


6.31375 


60 


I 


.08778 


11.3919 


.10540 


9.48781 


.12308 


8.12481 


.14084 


7.10038 


.15868 


6.30189 


59 


2 


.08807 


11.3540 


.10569 


9.46141 


.12338 


8.10536 


.14113 


7.08546 


.15898 


6.29007 


S8 


3 


.08837 


II. 3163 


.10599 


9.43515 


.12367 


8.08600 


.14143 


7.07059 


.15928 


6.27829 


57 


4 


.08866 


11.2789 


.10628 


9.40904 


.12397 


8.06674 


.14173 


7.05579 


.15958 


6.26655 


56 


5 


.0889s 


11.2417 


.10657 


9.38307 


.12426 


8.04756 


.14202 


7.0410S 


.15988 


6.25486 


55 


6 


.0892s 


11. 2048 


.10687 


9.35724 


.12456 


8.02848 


.14232 


7.02637 


.16017 


6.24321 


54 


7 


.08954 


11.1681 


.10716 


9-33155 


.12485 


8.00948 


.14262 


7.01 174 


.16047 


6.23160 


S3 


g 


.08983 


11.1316 


.10746 


9-30599 


.12515 


7.99058 


.14291 


6.99718 


.16077 


6.22003 


52 


9 


.09013 


1 1. 0954 


.10775 


9-28058 


.12544 


7.97176 


.14321 


6.98268 


.16107 


6.20851 


51 


10 


.09042 


II.OS94 


.10805 


9-25530 


.12574 


7.95302 


.14351 


6.96823 


.16137 


6.19703 


50 


II 


.09071 


11.0237 


.10834 


9.23016 


.12603 


7.93438 


.14381 


6.95385 


.16167 


6.18559 


49 


12 


.09101 


10.9882 


.10863 


9.20516 


.12633 


7.91582 


.14410 


6.93952 


.16196 


6.17419 


48 


13 


.09130 


10.9529 


.10893 


9.18028 


.12662 


7.89734 


.14440 


6.92525 


.16226 


6-16283 


47 


14 


.09159 


10.9178 


.10922 


9.ISSS4 


.12692 


7.87895 


.14470 


6.91104 


.16256 


6-15151 


46 


IS 


.09189 


10.8829 


.10952 


9.13093 


.12722 


7.86064 


.14499 


6.89688 


.16286 


6.14023 


45 


l6 


.09218 


10.8483 


.10981 


9.10646 


.12751 


7.84242 


.14529 


6.88278 


.16316 


6.12899 


44 


17 


.09247 


10.8139 


.IIOII 


9.08211 


.12781 


7.82428 


.14559 


6.86874 


.16346 


6.11779 


43 


i8 


.09277 


10.7797 


.11040 


9.05789 


.12810 


7.80622 


.14588 


6.85475 


.16376 


6.10664 


42 


19 


.09306 


10-7457 


.11070 


9-03379 


.12840 


7.78825 


.14618 


6.84082 


.16405 


6.09552 


41 


20 


.09335 


10.7119 


.11099 


9.00983 


.12869 


7.77035 


.14648 


6.82694 


.16435 


6.08444 


40 


21 


■0936s 


10.6783 


.11128 


8.98598 


.12899 


7.75254 


.14678 


6.81312 


.16465 


6.07340 


39 


22 


.09394 


10.6450 


.11158 


8.96227 


.12929 


7.73480 


.14707 


6.79936 


.16495 


6.06240 


38 


23 


.09423 


10.6118 


.11187 


8.93867 


.12958 


7.7171S 


.14737 


6.78564 


.16525 


6.05143 


37 


24 


.09453 


10.5789 


.11217 


8.91520 


.12988 


7.69957 


.14767 


6.77199 


.16555 


6.04051 


36 


25 


.09482 


10.5462 


.11246 


8.89185 


.13017 


7.68208 


.14796 


6.75838 


.16585 


6.02962 


35 


26 


.09511 


10.5136 


.11276 


8.86862 


.13047 


7.66466 


.14826 


6.74483 


.1661S 


6.01878 


34 


27 


.09541 


10.4813 


•11305 


8.84551 


.13076 


7.64733 


.14856 


6.73133 


.16645 


6.00797 


33 


28 


.C9570 


10.4491 


.11335 


8.82252 


.13106 


7.63005 


.14886 


6.71789 


.16674 


5.99720 


32 


29 


.C9600 


10.4172 


.11364 


8.79964 


.13136 


7.61287 


.14915 


6.70450 


.16704 


S.98646 


31 


30 


.09629 


10.3854 


.11394 


8.77689 


.13165 


7.59575 


•14945 


6.69116 


.16734 


5-97576 


30 


31 


.09658 


10.3538 


.11423 


8.75425 


• 1319s 


7.57872 


.14975 


6.67787 


.16764 


5-96510 


29 


32 


.09688 


10.3224 


.11452 


8.73172 


.13224 


7.56176 


.15005 


6.66463 


.16794 


5-95448 


28 


33 


.09717 


10.2913 


.11482 


8.70931 


.13254 


7.54487 


.15034 


6.65144 


.16824 


S-94390 


27 


34 


.09746 


10.2602 


.11511 


8.68701 


.13284 


7.52806 


.15064 


6.63831 


.16854 


5-93335 


26 


35 


.09776 


10.2294 


.11541 


8.66482 


.13313 


7.51132 


.15094 


6.62523 


.16884 


5.92283 


25 


36 


.09805 


10.1988 


.11570 


8.64275 


.13343 


7.49465 


.15124 


6.61219 


.16914 


S.91236 


24 


37 


.09834 


10.1683 


.11600 


8.62078 


.13372 


7.47806 


•IS153 


6.S992I 


.16944 


S.90191 


23 


38 


.09864 


10.1381 


.11629 


8.59893 


.13402 


7.46154 


• 15183 


6.58627 


.16974 


S.89151 


22 


39 


.09893 


10.1080 


.11659 


8.57718 


• 13432 


7-44509 


.15213 


6.57339 


.17004 


5.88114 


21 


40 


.09923 


10.0780 


.11688 


8-5S55S 


.13461 


7.42871 


•15243 


6.560SS 


•17033 


S.87080 


20 


41 


.09952 


10.0483 


.11718 


8-53402 


.13491 


7.41240 


.15272 


6.S4777 


•17063 


5.86051 


19 


42 


.09981 


10.0187 


.11747 


8.51259 


•13521 


7.39616 


.15302 


6.53503 


.17093 


5.85024 


18 


43 


.10011 


9.98931 


.11777 


8.49128 


• 13550 


7-37999 


.15332 


6.52234 


.17123 


5.84001 


17 


44 


.10040 


9 


96007 


.11806 


8.47007 


•13580 


7-36389 


.15362 


6.50970 


.17153 


5.82982 


16 


45 


.10069 


9 


93101 


.11836 


8.44896 


.13609 


7.34786 


.15391 


6.49710 


.17183 


S.81966 


IS 


46 


.10099 


9 


90211 


.11865 


8.4279s 


•13639 


7.33190 


.15421 


6.48456 


.17213 


5.80953 


14 


47 


.10128 


9 


87338 


.11895 


8.40705 


•13669 


7.31600 


.15451 


6.47206 


.17243 


5-79944 


13 


48 


.10158 


9 


84482 


.11924 


8.38625 


.13698 


7.30018 


.15481 


6.45961 


.17273 


S.78938 


12 


49 


.10187 


9 


81641 


-11954 


8.3655s 


.13728 


7.28442 


•15511 


6.44720 


•17303 


5. 77936 


II 


SO 


.10216 


9 


78817 


.11983 


8.34496 


•13758 


7.26873 


.15540 


6.43484 


.17333 


S.76937 


10 


SI 


.10246 


9 


76009 


.12013 


8.32446 


•13787 


7-25310 


.15570 


6.42253 


.17363 


S.75941 


9 


52 


.10275 


9 


73217 


.12042 


8.30406 


.13817 


7-23754 


.15600 


8.41026 


.17393 


5. 74949 


8 


53 


.1030S 


9 


70441 


.12072 


8.28376 


.13846 


7.22204 


.15630 


6.39804 


.17423 


5.73960 


7 


54 


.10334 


9 


67680 


.12101 


8.2635s 


.13876 


7.20661 


.15660 


6.38587 


.17453 


5.72974 


6 


55 


.10363 


9 


64935 


.12131 


8.2434s 


.13906 


7.19125 


.15689 


6.37374 


•17483 


5.71992 


S 


56 


.10393 


9 


62205 


.12160 


8.22344 


•1393S 


7.17594 


.15719 


6.36165 


•17513 


5.71013 


4 


57 


.10422 


9 


59490 


.12190 


8.20352 


•1396s 


7.16071 


.15749 


6.34961 


•17543 


S.70037 


3 


58 


.10452 


9 


56791 


.12219 


8.18370 


.13995 


7.14553 


.15779 


6.33761 


.17573 


5. 69064 


2 


59 


.10481 


9 


54106 


.12249 


8.16398 


.14024 


7.13042 


.15809 


6.32566 


.17603 


5. 68094 


I 


60 


.10510 


9-51436 


.12278 


8.14435 


•14054 


7.11537 


.15838 


6.31375 


•17633 


S.67128 





/ 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


/ 


84° 


8: 


5° 


8i 





81° 


8( 


D° 



BROWN & SHARPE MFG. CO. 



103 



NATURAL TANGENTS AND COTANGENTS 



1 


10° 


11° 


12° 


13° 


14° 


1 


Tangf 


Cotang: 


Taner 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 





.17633 


S.67128 


.19438 


5-14455 


21256 


4.70463 


.23087 


4.33148 


•24933 


4.01078 


60 


I 


.17663 


5.66165 


.19468 


5.13658 


212S6 


4.69791 


.23117 


4.32573 


.24964 


4.00582 


59 


2 


.17693 


5-65205 


.19498 


5.12862 


21316 


4.69121 


.23148 


4.32001 


.24995 


4.00086 


S8 


3 


.17723 


5.64248 


.19529 


5.12069 


21347 


4.684 1^2 


.23179 


4-31430 


.25026 


3-99592 


57 


4 


.17753 


5-63295 


.I9SS9 


5.11279 


21377 


4.67786 


.23209 


4.30860 


.25056 


3-99099 


S6 


S 


.17783 


5.62344 


•19589 


5.10490 


21408 


4.67121 


.23240 


4.30291 


.25087 


3-98607 


55 


6 


.17813 


S.61397 


.19619 


5-09704 


21438 


4.66458 


.23271 


4.29724 


.25118 


3-98117 


54 


7 


.17843 


5-60452 


.19649 


5.08921 


21469 


4.65797 


.23301 


4.29159 


.25149 


3-97627 


53 


8 


.17873 


5.59511 


.196S0 


5.08139 


21499 


4.65138 


.23332 


4.2859s 


.25180 


3-97139 


52 


9 


.17903 


5-58573 


.19710 


5.07360 


21529 


4.64480 


■23363 


4.28032 


.25211 


3-96651 


SI 


10 


.17933 


5-57638 


.19740 


.5.06584 


21560 


4.6382s 


.23393 


4.27471 


.25242 


3-96165 


50 


11 


.17963 


5-56706 


.19770 


5.05809 


21590 


4.63171 


.23424 


4.26911 


.25273 


3.95680 


49 


12 


.17993 


5-55777 


.19801 


5.05037 


21621 


4.62518 


.23455 


4.26352 


.25304 


3.95196 


48 


13 


.18023 


5-54851 


.19831 


5.04267 


21651 


4.61868 


.23485 


4.25795 


.25335 


3-94713 


47 


14 


.18053 


5-53927 


.19861 


5.03499 


21682 


4.61219 


.23516 


4.25239 


.25366 


3.94232 


46 


IS 


.18083 


5-53007 


.19891 


5.02734 


21712 


4.60572 


.23547 


4.2468s 


.25397 


3.93751 


45 


16 


.18113 


5-S2090 


.19921 


5-01971 


21743 


4-59927 


.23578 


4.24132 


.25428 


3-93271 


44 


17 


.18143 


5-51176 


.19952 


5.01210 


21773 


4.59283 


.23608 


4.23580 


.25459 


3-92793 


<;3 


18 


.18173 


5-SO264 


.19982 


5.00451 


21804 


4.58641 


.23639 


4.23030 


.25490 


3.92316 


42 


19 


.18203 


5.49356 


.20012 


4.99695 


21834 


4.58001 


.23670 


4.22481 


.25521 


3.91839 


41 


20 


.18233 


5.48451 


.20042 


4.98940 


21864 


4.57363 


.23700 


4.21933 


•25552 


3.91364 


40 


21 


.18263 


5.47548 


.20073 


4.98188 


21895 


4.56726 


.23731 


4.21387 


.25583 


3.90890 


39 


22 


.18293 


5. 46648 


.20103 


4.97438 


21925 


4.56091 


.23762 


4.20842 


.25614 


3.90417 


38 


23 


.18323 


5.45751 


.20133 


4.96690 


21956 


4.55458 


.23793 


4.20298 


.25645 


3-89945 


37 


24 


.18353 


5-44857 


.20164 


4.95945 


21986 


4.54826 


.23823 


4.19756 


.25676 


3.89474 


?,(> 


2S 


.18384 


S-43966 


.20194 


4.95201 


22017 


4.54196 


.23854 


4.19215 


.25707 


3.89004 


35 


26 


.18414 


5-43077 


.20224 


4.94460 


22047 


4.53568 


.23885 


4.18675 


.25738 


3.88536 


34 


27 


.18444 


5-42192 


.20254 


4.93721 


22078 


4.52941 


.23916 


4.18137 


•25769 


3.88068 


33 


28 


.18474 


5-41309 


.20285 


4.92984 


22108 


4.52316 


.23946 


4.17600 


.25800 


3.87601 


32 


29 


.18504 


5-40429 


.20315 


4.92249 


22139 


4.51693 


.23977 


4.17064 


•25831 


3.871.36 


31 


30 


.18534 


5-39552 


.20345 


4.91516 


22169 


4.51071 


.24008 


4.16530 


.25862 


3.86671 


30 


31 


.18564 


5.38677 


.20376 


4.90785 


22200 


4.50451 


.24039 


4. 1 5997 


.25893 


3.86208 


29 


3^ 


.18594 


S-3780S 


.20406 


4.90056 


22231 


4.49832 


.24069 


4.1546s 


•25924 


3.85745 


28 


33 


.18624 


5-36936 


.20436 


4-89330 


22261 


4.49215 


.24100 


4-14934 


.25955 


3.85284 


27 


34 


.18654 


5.36070 


.20466 


4.8860s 


22292 


4.4S60O 


.24131 


4- 1440s 


.25986 


3.84824 


26 


35 


.18684 


5-35206 


.20497 


4.87882 


22322 


4.47986 


.24162 


4-13877 


.26017 


3.84364 


25 


36 


.18714 


5-34345 


.20527 


4.87162 


22353 


4.47374 


.24193 


4-13350 


.26048 


3.83906 


24 


37 


.18745 


5-33487 


.20557 


4.86444 


22383 


4.46764 


. .24223 


4-12825 


.26079 


3.83449 


23 


38 


.18775 


5-32631 


.20588 


4.85727 


22414 


4.46155 


.24254 


4.12301 


.26110 


3.82092 


22 


39 


.1880S 


5-31778 


.20618 


4.85013 


22444 


4.45548 


.24285 


4-11778 


.26141 


3-82537 


21 


40 


.18835 


5-30928 


.20648 


4.84300 


22475 


4.44942 


.24316 


4.11256 


.26172 


3-82083 


20 


41 


.18865 


5.30080 


.20679 


4.83590 


22505 


4.44338 


.24347 


4-10736 


.26203 


3.81630 


19 


42 


.18895 


5.2923s 


.20709 


4.82882 


22536 


4.43735 


•24377 


4.10216 


.26235 


3.81177 


18 


43 


.18925 


5-28393 


.20739 


4.8217s 


22567 


4.43134 


.24408 


4.09699- 


.26266 


3.80726 


17 


44 


.18955 


S-27S53 


.20770 


4.81471 


22597 


4.42534 


.24439 


4.09182 


.26297 


3.80276 


16 


45 


.18986 


S-2671S 


.20800 


4.80769 


22628 


4.41936 


.24470 ■ 


4.08666 


.26328 


3.70827 


IS 


46 


.19016 


5-25880 


.20830 


4.80068 


22658 


4.41340 


.24501 


4.08152 


.26359 


3.79378 


14 


47 


.19046 


S.25048 


.20861 


4-79370 


22689 


4.4074s 


.24532 


4.07639 


.26390 


3.78931 


13 


48 


.19076 


5.2421S 


.20891 


4.78673 


22719 


4.40152 


.24562 


4.07127 


.26421 


3-78485 


12 


49 


.19106 


S-23391 


.20921 


4.77978 


22750 


4.39560 


.24593 


4.06616 


.26452 


3.7S040 


11 


50 


.19136 


S.22566 


.20952 


4.77286 


22781 


4.38969 


.24624 


4.06107 


.26483 


3-77595 


10 


SI 


.19166 


5-21744 


.20982 


4.76595 


22811 


4.38381 


.24655 


4.05599 


.26515 


3.77152 


9 


52 


.19197 


5-20925 


.21013 


4.75906 


22842 


4-37793 


.24686 


4.05092 


.26546 


3.76709 


8 


S3 


.19227 


5-20107 


.21043 


4.75219 


22872 


4.37207 


.24717 


4-04586 


.26577 


3.76268 


7 


S4 


.19257 


5-19293 


.21073 


4.74534 


22903 


4-36623 


.24747 


4.04081 


.26608 


3.75828 


6 


55 


.19287 


5.18480 


.21104 


4.73851 


22934 


4.36040 


.24778 


4.03578 


.26639 


3.75388 


S 


56 


.19317 


5.17671 


.21134 


4-73170 


22964 


4-35459 


.24809 


4.03076 


.26670 


3.74950 


4 


57 


.19347 


5.16863 


.21164 


4.72490 


22995 


4.34879 


.24840 


4.02574 


.26701 


3.74512 


3 


58 


.19378 


5.16058 


.21195 


4.71813 


23026 


4.34300 


.24871 


4.02074 


.26733 


3-74075 


2 


59 


.19408 


5.15256 


.21225 


4.71137 


23056 


4.33723 


.24902 


4-01576 


.26764 


3-73640 


I 


60 


•19438 


5-14455 


.21256 


4.70463 


23087 


4.33148 


.24933 


4.01078 


•26795 


3.7320s 





/ 


Cotang 


Tang 


Cotang 


Tang C 


otang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


1 


7? 


t 


7^ 


?° 


yi"" 


76° 


7. 


- 

3 



I04 BROWN & SHARPE MFG. CO. 

NATURAL TANGENTS AND COTANGENTS 



/ 


15° 


16° 


17° 


18° 


I 


9° 


/ 


Tang: 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 





.26795 


3-73205 


.2867s 


3-48741 


.30573 


3.27085 


.32492 


3-07768 


■34433 


2.90421 


60 


I 


.26826 


3-72771 


.28706 


3-48359 


.30605 


3.26745 


.32524 


3.07464 


■3446s 


2.90147 


59 


2 


.26857 


3.72338 


.28738 


3.47977 


■30637 


3.26406 


-32556 


3.07160 


■34498 


2.89873 


S8 


3 


.26888 


3.71907 


.28769 


3-47596 


.30669 


3.26067 


.32588 


3-06857 


■34530 


2.8g6oo 


57 


4 


.26920 


3-71476 


.28800 


3^47216 


.30700 


3-25729 


.32621 


3-06554 


■34563 


2.89327 


S6 


S 


.26951 


3-71046 


.28832 


3-46837 


.30732 


3-25392 


.32653 


3.06252 


■34596 


2-89055 


55 


6 


.26982 


3.70616 


.28864 


3-46458 


■30764 


3-25055 


.3268s 


3-05950 


■34628 


2.88783 


54 


7 


.27013 


3.70188 


.2889s 


3.46080 


•30796 


3-24719 


.32717 


3-05649 


■34661 


2.88511 


S3 


8 


.27044 


3-69761 


.28927 


3-4S703 


.30828 


3-24383 


.32749 


3-05349 


■34693 


2.88240 


52 


9 


.27076 


3-6933S 


.28958 


3-45327 


.30860 


3-24049 


.32782 


3-05049 


.34726 


2.87970 


SI 


10 


.27107 


3.68909 


.28990 


3.44951 


.30891 


3-23714 


.32814 


3.04749 


.34758 


2.87700 


SO 


II 


.27138 


3.68485 


.29021 


3-44576 


.30923 


3^23381 


.32846 


3.04450 


.34791 


2.87430 


49 


12 


.27i6g 


3.68061 


.29053 


3.44202 


.30955 


3^23048 


.32878 


3^04152 


.34824 


2.87161 


48 


13 


.27201 


3.67638 


.29084 


3-43829 


.30987 


3^22715 


.32911 


3.03854 


.34856 


2.86892 


47 


14 


.27232 


3.67217 


.29116 


3.43456 


.31019 


3^22384 


.32943 


3-03556 


.34889 


2.86624 


46 


IS 


.27263 


3-66796 


.29147 


3.43084 


.31051 


3^22053 


.32975 


3-03260 


.34922 


2.86356 


4S 


l6 


.27294 


3.66376 


.29179 


3-42713 


.31083 


3^21722 


.33007 


3-02963 


.34954 


2.86089 


44 


'2 


.27326 


3-65957 


.29210 


3-42343 


■3111S 


3^21392 


.33040 


3.02667 


.34987 


2.85822 


43 


i8 


.273S7 


3-65538 


.29242 


3-41073 


■31147 


3^21063 


.33072 


3-02372 


.35020 


2.8S5SS 


42 


19 


.27388 


3-65121 


.29274 


3-41604 


■31178 


3.20734 


.33104 


3-02077 


.35052 


2.85289 


41 


20 


.27419 


3-64705 


•2930s 


3-41236 


■3I2I0 


3.20406 


.33136 


3-01783 


.35085 


2.85023 


40 


21 


.274SI 


3-64289 


•29337 


3-40869 


.31242 


3.20079 


.33169 


3^01489 


.35118 


2.84758 


39 


22 


.27482 


3-63874 


.29368 


3-40502 


.31274 


3.19752 


.33201 


3.01196 


.35150 


2.84494 


38 


23 


.27513 


3-63461 


.29400 


3-40136 


.31306 


3.19426 


.33233 


3.00903 


.35183 


2.84229 


37 


24 


.27545 


3-63048 


.29432 


3-39771 


.31338 


3.19100 


.33266 


3.00611 


.35216 


2-83965 


36 


2S 


.27576 


3-62636 


.29463 


3-39406 


.31370 


3.18775 


.33298 


3.00319 


.35248 


2.83702 


as 


26 


.27607 


3-62224 


•2949s 


3-39042 


.31402 


3.18451 


-33330 


3.00028 


.35281 


2.83439 


34 


27 


.27638 


3-61814 


•29526 


3-38679 


.31434 


3^18127 


•33363 


2.99738 


.35314 


2.83176 


33 


28 


.27670 


3-61405 


.29558 


3-38317 


.31466 


3^i78o4 


.33395 


2.99447 


.35346 


2.82914 


32 


29 


.27701 


3-60996 


.29590 


3-37955 


.31498 


3.17481 


.33427 


2.99158 


.35379 


2.82653 


31 


30 


■27732 


3.60588 


.29621 


3-37S94 


.31530 


3-17159 


.33460 


2.98868 


.35412 


2.82391 


30 


31 


.27764 


3.60181 


.29653 


3-37234 


■31562 


3-16838 


.33492 


2.98580 


.35445 


2.82130 


29 


32 


.27795 


3-59775 


.29685 


3.36875 


■31594 


3-16517 


.33524 


2.98292 


.35477 


2.81870 


28 


33 


.27826 


3-59370 


.29716 


3^365i6 


.31626 


3-16197 


-33557 


2.98004 


.35510 


2.81610 


27 


34 


.27858 


3-58966 


.29748 


3.36158 


.31658 


3.15877 


.335S9 


2.97717 


.35543 


2.81350 


26 


3S 


.278S9 


3-58562 


.29780 


3^35800 


.31690 


3-15558 


.33621 


2.97430 


.35576 


2.8iogi 


2S 


36 


.27921 


3-58160 


.29811 


3^35443 


.31722 


3-15240 


.33654 


2.97144 


.35608 


2.80833 


24 


37 


.27952 


3-57758 


.29043 


3-35087 


■31754 


3-14922 


.33686 


2.96858 


.35641 


2.80574 


23 


38 


.27983 


3-57357 


.2987s 


3^34732 


■31786 


3-14605 


.33718 


2.96573 


.35674 


2.80316 


22 


39 


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3-56957 


.29906 


3-34377 


■ 31818 


3-14288 


-33751 


2.96288 


.35707 


2.80059 


21 


40 


.28046 


3-56557 


.29938 


3-34023 


■ 31850 


3-13972 


.33783 


2.96004 


.35740 


2.79802 


20 


41 


.28077 


3.56159 


.29970 


3-33670 


.31882 


3.13656 


.33816 


2.95721 


.35772 


2.79545 


19 


42 


.2S109 


3-55761 


.30001 


3-33317 


■3I9I4 


3^13341 


.33S48 


2.95437 


.35805 


2.79289 


18 


43 


.28140 


3-55364 


.30033 


3-32965 


■31946 


3-13027 


.33881 


2.95155 


.35838 


2.79033 


17 


44 


.28172 


3-54968 


.30065 


3-32614 


■31978 


3-12713 


.33913 


2.94872 


.35871 


2.78778 


16 


4S 


.28203 


3-54573 


.30097 


■3-32264 


.32010 


3-12400 


-33945 


2-94S9I 


.35904 


2.78523 


IS 


46 


.28234 


3-54179 


.30128 


3-31914 


.32042 


3.12087 


■33978 


2.94309 


.35937 


2.78269 


14 


47 


.28266 


3-53785 


.30160 


3-31565 


.32074 


3-II775 


■34010 


2.94028 


.35969 


2.78014 


13 


48 


.28297 


3-53393 


•30192 


3.31216 


.32106 


3-11464 


■34043 


2.93748 


.36002 


2.77761 


12 


49 


.28329 


3-S300I 


.30224 


3-30868 


■32139 


3-11153 


■34075 


2.93468 


.36035 


2.77507 


II 


SO 


.28360 


3-52609 


.30255 


3.30521 


.32171 


3- 10842 


■34108 


2.93189 


.36068 


2.77254 


10 


SI 


.28391 


3.52219 


.30287 


3-30174 


.32203 


3-10532 


■34140 


2.92910 


.36101 


2.77002 


9 


S2 


.28423 


3-51829 


.30319 


3-29829 


.32235 


3-10223 


■34173 


2.92632 


.36134 


2.76750 


8 


S3 


.28454 


3-51441 


.30351 


3-29483 


.32267 


3 -099 1 4 


■34205 


2.92354 


.36167 


2.76498 


7 


54 


.28486 


3-5IOS3 


.30382 


3-29139 


.32299 


3.09606 


-34238 


2.92076 


.36199 


2.76247 


6 


SS 


.28517 


3-50666 


.30414 


3-28795 


.32331 


3-0929S 


-34270 


2-91799 


.36232 


2.75996 


S 


56 


.28549 


3-50279 


.30446 


3-28452 


.32363 


3-08991 


-34303 


2-91523 


.36265 


2.75746 


4 


S7 


.28580 


3.49894 


-30478 


3-28109 


.32396 


3-08685 


-34335 


2.91246 


.36298 


2.75496 


3 


S8 


.28612 


3-49509 


-30509 


3-27767 


.32428 


3-0S379 


-34368 


2.90971 


.36331 


2.75246 


2 


59 


.28643 


3-49125 


■30541 


3-27426 


.32460 


3-08073 


-34400 


2.90696 


.36364 


2.74997 


I 


6o 


.2867s 


3-48741 


-30573 


3-27085 


.32492 


3-0776S 


-34433 


2.90421 


.36397 


2.74748 





/ 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


/ 


7^ 


\° 


73° 


72° 


7] 





7( 


)° 



BROWN & SHARPS MFG. CO. IO5 

NATURAL TANGENTS AND COTANGENTS 



r 


20'° 


21° 


22° 


23° 


2 


4° 


1 


Tang- 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 





.36397 


2.74748 


.38386 


2.60509 


.40403 


2.47509 


.42447 


2.35585 


.44523 


2.24604 


60 


I 


.36430 


2.74499 


.38420 


2.602S3 


.40436 


2.47302 


.42482 


2.35395 


•44558 


2.24428 


59 


2 


.36463 


2.74251 


.38453 


2.60057 


.40470 


2.47095 


.42516 


2.35205 


•44593 


2.24252 


58 


3 


.36496 


2.74004 


.38487 


2.59831 


.40504 


2.46888 


.42551 


2.35015 


.44627 


2.24077 


57 


4 


.36529 


2.73756 


.38520 


2.59606 


.40538 


2.46682 


.42585 


2.3482s 


.44662 


2.23902 


56 


s 


.36562 


2.73509 


.38553 


2.59381 


.40572 


2.46476 


.42619 


2.34636 


• 44697 


2.23727 


55 


6 


.36595 


2.73263 


.38587 


2.59156 


.40606 


2.46270 


.42654 


2.34447 


• 44732 


2.23553 


54 


7 


.36628 


2.73017 


.38620 


2.58932 


.40640 


2.46065 


.42688 


2.34258 


.44767 


2.23378 


S3 


8 


.36661 


2.72771 


.38654 


2.58708 


.40674 


2.45860 


.42722 


2.34069 


.44S02 


2.23204 


52 


9 


.36694 


2.72526 


.38687 


2.58484 


.40707 


2.45655 


.42757 


2.33881 


.44S37 


2.23030 


51 


10 


.36727 


2.72281 


.38721 


2.58261 


.40741 


2.454SI 


.42791 


2.33693 


.44872 


2.22857 


SO 


II 


.36760 


2.72036 


.38754 


2.58038 


.40775 


2.45246 


.42826 


2.33505 


.44907 


2.22683 


49 


12 


.36793 


2.71792 


.38787 


2.57815 


.40809 


2.45043 


.42860 


2.33317 


.44942 


2.22510 


48 


13 


.36S26 


2.71548 


.38821 


2.57593 


.40843 


2.44839 


•42894 


2.33130 


.44977 


2.22337 


47 


14 


.36859 


2.71305 


.38854 


2.S737I 


.40877 


2.44636 


•42929 


2.32943 


.45012 


2.22164 


46 


15 


.36892 


2.71062 


.38888 


2.57150 


.40911 


2.44433 


•42963 


2.32756 


.45047 


2.21992 


45 


16 


.36925 


2.70819 


.38921 


2.56928 


.40945 


2.44230 


.42998 


2.32570 


.45082 


2.21819 


44 


17 


.36958 


2.70577 


•38955 


2.56707 


.40979 


2.44027 


.43032 


2.32383 


.45117 


2.21647 


43 


18 


.36991 


2.70335 


.38988 


2.56487 


.41013 


2.43825 


.43067 


2.32197 


.45152 


2.2I47S 


42 


19 


.37024 


2.70094 


.39022 


2.56266 


.41047 


2.43623 


.43101 


2.32012 


.45187 


2.21304 


41 


20 


■37057 


2.69853 


.390SS 


2.56046 


.41081 


2.43422 


.43136 


2.31826 


.45222 


2.21132 


40 


21 


.37090 


2.69612 


.39089 


2.55827 


.4111S 


2.43220 


.43170 


2.31641 


.45257 


2.20961 


39 


22 


.37123 


2.69371 


.39122 


2.55608 


.41149 


2.43019 


.43205 


2.31456 


.45292 


2.20750 


38 


23 


.37157 


2.69131 


.39156 


2.55389 


.41183 


2.42819 


.43230 


2.31271 


.45327 


2.20619 


37 


24 


.37190 


2.68892 


.39190 


2.55170 


.41217 


2.42618 


.43274 


2.31086 


.45362 


2.20449 


36 


25 


.37223 


2.68653 


.39223 


2.54952 


.41251 


2.42418 


.43308 


2.30902 


.45397 


2.20278 


35 


26 


.37256 


2.68414 


.39257 


2.54734 


.41285 


2.42218 


.43343 


2.30718 


.45432 


2.20108 


34 


27 


.37289 


2.6817s 


.39290 


2.54516 


.41319 


2.42019 


.43378 


2.30534 


.45467 


2.19958 


33 


28 


.37322 


2.67937 


.39324 


2.54299 


.41353 


2.41S19 


.43412 


2.30351 


.45502 


2.19769 


32 


29 


.37355 


2.67700 


.39357 


2.54082 


.41387 


2.41620 


.43447 


2.30167 


.45538 


2.10599 


31 


30 


.37388 


2.67462 


.39391 


2.53865 


.41421 


2.41421 


.43481 


2.29984 


.45573 


2.19430 


30 


31 


.3742.T 


2.6722s 


.39425 


2.53648 


.41455 


2.41223 


.43516 


2.29801 


.45608 


2.19261 


29 


32 


.37455 


2.66989 


.39458 


2.53432 


.41490 


2.41025 


.43550 


2.29619 


.45643 


2.19092 


28 


33 


.37488 


2.66752 


.39492 


2.53217 


.41524 


2.40827 


.43585 


2.29437 


•45678 


2.18923 


27 


34 


.37521 


2.66516 


.39526 


2.53001 


•41558 


2.40629 


.43620 


2.29254 


•45713 


2.18755 


26 


35 


.37554 


2.66281 


.39559 


2.52786 


.41592 


2.40432 


•43654 


2.29073 


•45748 


2.18587 


25 


36 


.37588 


2.66046 


.39593 


2.52571 


.41626 


2.40235 


•43689 


2.2S091 


.45784 


2.18419 


24 


37 


.37621 


2.6581 1 


.39626 


2.52357 


.41660 


2.40038 


.43724 


2.2S710 


.45819 


2.18251 


23 


38 


.37654 


2.65576 


.39660 


2.52142 


.41694 


2.39841 


.43758 


2.28528 


.45854 


2.18084 


22 


39 


.37687 


2.65342 


.39694 


2.51929 


.41728 


2.39645 


•43793 


2.28343 


.45S89 


2.17916 


21 


40 


. .37720 


2.65109 


.39727 


2.S171S 


.41763 


2.39449 


•43828 


2.28167 


.45924 


2.17749 


20 


41 


.37754 


2.64875 


.39761 


2.51502 


.41797 


2.39253 


.43862 


2.27987 


.45960 


2.17582 


19 


42 


.37787 


2.64642 


.39795 


2.51289 


.41831 


2.39058 


.43S97 


2.27806 


.45995 


2.17416 


18 


43 


.37820 


2.64410 


.39829 


2.51076 


.41865 


2.30S63 


•43932 


2.27626 


.46030 


2.17249 


17 


44 


.37853 


2.64177 


.39862 


2.50864 


.41899 


2.3S66S 


.43966 


2.27447 


.46065 


2.17083 


16 


45 


.378S7 


2.63945 


.39896 


2.50652 


.41933 


2.38473 


.44001 


2.27267 


.46101 


2.16917 


15 


46 


.37920 


2.63714 


.39930 


2.50440 


.41968 


2.38279 


.44036 


2.27088 


.46136 


2.16751 


14 


47 


.37953 


2.63483 


.35963 


2.50229 


.42002 


2.38004 


.44071 


2.26909 


.46171 


2.16585 


13 


48 


.37986 


2.63252 


.39997 


2.50018 


.42036 


2.37S91 


.44105 


2.26730 


.46206 


2.16420 


12 


49 


.38020 


2.63021 


.40031 


2.49807 


.42070 


2.37697 


.44140 


2.26552 


.46242 


2.16255 


11 


50 


.38053 


2.62791 


.40065 


2.49597 


.42x05 


2.37504 


•4417s 


2.26374 


•46277 


2.16090 


10 


51 


.38086 


2.62561 


.40098 


2.49386 


.42139 


2-37311 


.44210 


2.26196 


.46312 


2.15925 


9 


52 


.38120 


2.62332 


.40132 


2.49177 


.42173 


2.37118 


.44244 


2.26018 


.46348 


2.15760 


8 


S3 


.38153 


2.62103 


.40166 


2.48967 


.42207 


2.36925 


.44279 


2.25840 


.46383 


2.15596 


7 


54 


.38186 


2.61874 


.40200 


2.48758 


.42242 


2.36733 


.44314 


2.25663 


.46418 


2.15432 


6 


55 


.38220 


2.61646 


.40234 


2.48549 


.42276 


2.36541 


.44349 


2.25486 


•46454 


2.15268 


5 


56 


.38253 


2.61418 


.40267 


2.48340 


.42310 


2.36349 


.443S4 


2.25309 


.46489 


2.15104 


4 


57 


.38286 


2.61190 


.40301 


2.48132 


.42345 


2.36158 


.44418 


2.25132 


.46525 


2.14940 


3 


58 


.38320 


2.60963 


.40335 


2.47924 


.42379 


2.35967 


.44453 


2.24956 


.46560 


2.14777 


2 


59 


.38353 


2.60736 


.40369 


2.47716 


.42413 


2.357/6 


.44488 


2.24780 


.46595 


2.14614 


I 


60 


.38386 


2.60509 


.40403 


2.47509 


.42447 


2.35585 


•44523 


2.24604 


.46631 


2.14451 





1 


Cotang 


Tang- 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


/ 


69° 


68° 


67° 


66° 


6 


,0 
3 



i 106 BRDWN & SHARPE MFG. CO. 

NATURAL TANGENTS AND COTANGENTS 



/ 


25 





26° 


27° 


28° 


29° 


/ 


Tangr 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 





.46631 


2.14451 


.48773 


2.05030 


.50953 


1.96261 


.53171 


1.88073 


.55431 


1. 8040s 


60 


I 


.46666 


2.14288 


.48809 


2.04879 


.50989 


1.96120 


.53208 


1.87941 


.55469 


1.80281 


59 


2 


.46702 


2.1412s 


.48845 


2.04728 


.51026 


1.95979 


.53246 


1.87809 


.55507 


1.80158 


S8 


3 


.46737 


2.13963 


.48881 


2.04577 


.51063 


1^95838 


-53283 


1.87677 


-55545 


1.80034 


57 


4 


.46772 


2.13801 


.48917 


2.04426 


.51099 


1^95698 


■53320 


1-87546 


.55583 


1.79911 


S6 


S 


.463o8 


2.13639 


.48953 


2.04276 


.51136 


1-9S5S7 


-53358 


1-87415 


■55621 


1.79788 


55 


6 


.46843 


2.13477 


.48989 


2.04125 


.51173 


1-95417 


.53395 


1-87283 


.55659 


1.79665 


54 


7 


.46879 


2.13316 


.49026 


2.03975 


.51209 


1-95277 


.53432 


1-87152 


.55697 


1-79542 


S3 


8 


.46914 


2.13154 


.49062 


2.03825 


.51246 


1-95137 


■53470 


1.87021 


.55736 


1.79419 


52 


9 


.46950 


2.12993 


.49098 


2.0367s 


.51283 


1-94997 


.53507 


1.86891 


.55774 


1.79296 


SI 


10 


.4698s 


2.12832 


.49134 


2.03526 


.51319 


1-94858 


■53545 


1.86760 


.55812 


1.79174 


SO 


11 


.47021 


2.12671 


.49170 


2.03376 


.S1356 


1.94718 


.53582 


1.86630 


.55850 


I.79OSI 


49 


12 


.47056 


2.125x1 


.49206 


2.03227 


.51393 


1.94579 


.53620 


1.86499 


.55888 


1.78929 


48 


13 


.47092 


2.12350 


.49242 


2.03078 


.51430 


1-94440 


.53657 


1.86369 


.55926 


1.78807 


47 


14 


.47128 


2.i2igo 


.49278 


2.02929 


.51467 


1. 94301 


-53694 


1.86239 


.55964 


1.7868s 


46 


IS 


.47163 


2.12030 


.49315 


2.02780 


.51503 


1. 94162 


-53732 


1.86109 


.56003 


1-78563 


45 


16 


.47199 


2.11871 


.49351 


2.02631 


.51540 


1.94023 


-53769 


1-85979 


.56041 


1-78441 


44 


17 


.47234 


2.11711 


•49387 


2.02483 


•51577 


I-93S85 


-53807 


1-85850 


-56079 


1. 78319 


43 


18 


.47270 


2.11552 


.49423 


2.02335 


.51614 


1-93746 


-53844 


1-85720 


-56117 


1.78198 


42 


19 


.47305 


2.11392 


.49459 


2.02187 


.51651 


1.93608 


-53882 


1-85591 


-56156 


1.78077 


41 


20 


.47341 


2.11233 


.49495 


2.02039 


.51688 


1-93470 


.53920 


1.85462 


-56194 


1-77955 


40 


21 


.47377 


2.11075 


.49532 


2.01891 


•51724 


1.93332 


.53957 


1-85333 


.56232 


1-77834 


39 


22 


.47412 


2.10916 


.49568 


2.01743 


.51761 


1-93195 


-53995 


1-85204 


•56270 


1-77713 


38 


23 


.47448 


2.10758 


.49604 


2.01596 


.5 1 798 


1.93057 


-54032 


1-85075 


•56309 


I-77S92 


37 


24 


.47483 


2.10600 


.49640 


2.01449 


.51835 


1.92920 


-54070 


1-84946 


•56347 


1-77471 


36 


25 


.47519 


2.10442 


.49677 


2.01302 


.51872 


1.92782 


.54107 


1.84818 


•56385 


I-77351 


35 


26 


.47555 


2.10284 


.49713 


2.011SS 


•51909 


1-92645 


.54145 


1.84689 


.56424 


1.77230 


34 


27 


.47590 


2.10126 


.49749 


2.01008 


.51946 


1.92508 


.54183 


1. 84561 


.56462 


1.77110 


33 


28 


.47626 


2.09969 


.49786 


2.00862 


.51983 


1. 9237 1 


.54220 


1-84433 


.56501 


1.76990 


32 


29 


.47662 


2.09811 


.49822 


2.0071S 


•52020 


1-92235 


-54258 


1-84305 


.56539 


1.76869 


31 


30 


.47698 


2.09654 


.49858 


2.00569 


•52057 


I .92098 


-54296 


1-84177 


•56577 


1.76749 


30 


31 


.47733 


2.09498 


.49894 


2.00423 


•52094 


1.91962 


.54333 


1.84049 


.56616 


1.76629 


29 


32 


.47769 


2.09341 


.49931 


2.00277 


•52131 


I. 91826 


.54371 


1.83922 


•56654 


1-76510 


28 


33 


.47805 


2.09184 


.49967 


2.00131 


.52168 


1.91690 


.54409 


1-83794 


•56693 


1.76390 


27 


34 


.47840 


2.09028 


.50004 


1.99986 


.52205 


I.9ISS4 


.54446 


1.83667 


•56731 


1.76271 


26 


35 


.47876 


2.08872 


.50040 


1.99841 


.52242 


1.91418 


.54484 


1-83540 


•56769 


1.76151 


25 


36 


.47912 


2.08716 


.50076 


1.9969s 


.52279 


I. 91282 


-54522 


1-83413 


.56808 


1.76032 


24 


37 


.47948 


2.08560 


.50113 


1.99550 


•52316 


1.91147 


.54560 


1.83286 


.56846 


1-75913 


23 


38 


.47984 


2.0840s 


.50149 


1.99406 


•52353 


I.91012 


•54597 


1-83159 


.56885 


1-75794 


22 


39 


.48019 


2.08250 


.50185 


1.99261 


.52390 


1.90876 


•5463s 


1-83033 


.56923 


1-75675 


21 


40 


.48055 


2.08094 


.50222 


1.99116 


.52427 


1.90741 


•54673 


1.82906 


•56962 


1-75556 


20 


41 


.48091 


2.07939 


.50258 


1.98972 


.52464 


1.90607 


•S47II 


1.82780 


.57000 


1-75437 


19 


42 


.48127 


2.0778s 


.50295 


1.98828 


.52501 


1.90472 


•54748 


1.82654 


•57039 


1-7S3I9 


18 


43 


.48163 


2.07630 


.50331 


1.98684 


.52538 


1-90337 


•54786 


1.82528 


•57078 


1-75200 


17 


44 


.48198 


2.07476 


.50368 


1.98540 


.52575 


1.90203 


•54824 


1.82402 


•57116 


1-75082 


16 


45 


.48234 


2.07321 


.50404 


1 .98396 


.52613 


1.90069 


.54862 


1.82276 


•5715s 


1.74964 


15 


46 


.48270 


2.07167 


.50441 


1.98253 


.52650 


1-89935 


•54900 


1.82150 


•57193 


1.74846 


14 


47 


.48306 


2.07014 


.50477 


1.98110 


.52687 


1. 8980 1 


•54938 


1.82025 


•57232 


1.74728 


13 


48 


.48342 


2.06860 


.50514 


1.97966 


.52724 


1.89667 


•54975 


1.81899 


•57271 


1.74610 


12 


49 


.48378 


2.06706 


.50550 


1.97823 


.52761 


1-89533 


•55013 


1.81774 


•57309 


1-74492 


11 


SO 


.48414 


2.06553 


.50587 


1.97681 


.52798 


1.89400 


•55051 


1.81649 


.57348 


1-74375 


10 


SI 


.48450 


2.06400 


.50623 


1.97538 


.52836 


1.89266 


•55089 


1.81524 


•57386 


1-74257 


9 


52 


.4S486 


2.06247 


.50660 


I.9739S 


.52873 


I-89133 


•55127 


1-81399 


•57425 


I-74140 


8 


S3 


.48521 


2.06094 


.50696 


1.97253 


.52910 


1.89000 


•55165 


1.81274 


•57464 


1.74022 


7 


54 


.48557 


2.05942 


.50733 


1.97111 


.52947 


1.88867 


•55203 


1.81150 


•57503 


1-73905 


6 


55 


.48593 


2.05790 


.50769 


1.96969 


•52985 


1-88734 


•55241 


1.81025 


•57S41 


1-73788 


5 


56 


.48629 


2.05637 


.50806 


1.96827 


.53022 


1. 886c E 


•55279 


1.80901 


•57580 


1-73671 


4 


57 


.48665 


2.05485 


.50843 


1.96685 


.53059 


1.88469 


.55317 


1-80777 


.57619 


1-73555 


3 


58 


.48701 


2.05333 


.50879 


1.96544 


.53096 


1-88337 


•55355 


1.80653 


•57657 


1-73438 


2 


59 


.48737 


2.05182 


.50916 


1.96402 


■53134 


1.88205 


•55393 


1-80529 


•57696 


1-73321 


1 


60 


.48773 


2.05030 


.50953 


1.96261 


.53171 


1.88073 


•55431 


1.80405 


•57735 


1.7320s 





/ 


Cotang: 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


/ 


6. 


t° 


6. 


?° 


6: 


2° 


6 


[? 


6 


D° 



BROWN & SHARPE MFG. CO. IO7 

NATURAL TANGENTS AND COTANGENTS 



/ 


30 


° 


31 





32 





33 





34° 


/ 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 





■57735 


1. 7320s 


.60086 


1.66428 


.62487 


1.60033 


.64941 


I.S3986 


.67451 


1.48256 


60 


I 


.57774 


1.73089 


.60126 


1.66318 


.62527 


1.59930 


.64982 


1.53888 


.67493 


1. 48163 


59 


2 


.57813 


1.72973 


.60165 


1.66209 


.62568 


1.59826 


.65024 


1-53791 


.67536 


1.48070 


58 


3 


.57851 


1.72857 


.60205 


1.66099 


.62608 


1.59723 


.65065 


1^53693 


.67578 


1.47977 


57 


4 


•57890 


1.72741 


.60245 


1.65990 


.62649 


1.59620 


.65106 


1^53595 


.67620 


1.47885 


56 


S 


.57929 


1.7262s 


.60284 


1.65881 


.62689 


1.59517 


.65148 


1^53497 


.67663 


1.47792 


55 


6 


.57968 


1.72509 


.60324 


1.65772 


.62730 


1. 59414 


.65189 


1^53400 


.67705 


1.47699 


54 


7 


.58007 


1.72393 


.60364 


1.65663 


.62770 


1. 593 11 


.65231 


1^53302 


.67748 


1.47607 


53 


8 


.58046 


1.72278 


.60403 


1.65554 


.62811 


1.59208 


.65272 


1^53205 


.67790 


1.47514 


52 


9 


.58085 


I. 72163 


.60443 


1^65445 


.62852 


1.59105 


•65314 


1^53107 


.67832 


1.47422 


51 


10 


.58124 


1.72047 


.60483 


1.65337 


.62892 


1 59002 


.65355 


1.53010 


.67875 


1-47330 


SO 


II 


.58162 


I. 71932 


.60522 


1.65228 


.62933 


1.58900 


.65397 


1.52913 


.67917 


1-47238 


49 


12 


.58201 


1.71817 


.60562 


1.65120 


.62973 


1-58797 


•65438 


1.52816 


.67960 


1. 47146 


48 


13 


.58240 


I. 71702 


.60602 


I. 65011 


.63014 


1.58695 


.65480 


1.52719 


.68002 


I.470S3 


47 


14 


.58279 


1.71588 


.60642 


1.64903 


•6305s 


1-58593 


•65521 


1.52622 


.68045 


1.46962 


46 


IS 


.58318 


1.71473 


.60681 


1.6479s 


•63095 


1.58490 


•65563 


1.5252s 


.68088 


1.46870 


45 


16 


.58357 


1.71358 


.60721 


1.64687 


•63136 


1-58388 


.65604 


1.52429 


.68130 


1.46778 


44 


17 


.58396 


I. 71244 


.60761 


1.64579 


•63177 


1.58286 


.65646 


1.52332 


.68173 


1.46686 


43 


18 


.58435 


I. 71129 


.60801 


1.64471 


.63217 


1.58184 


.65688 


1.5223s 


.68215 


1.46595 


42 


19 


.58474 


1.71015 


.60841 


1.64363 


.63258 


1.58083 


.65729 


1.52139 


.68258 


1-46.S03 


41 


20 


.58513 


1.70901 


.60881 


1.64256 


.63299 


1.57981 


•65771 


1.52043 


.68301 


1. 464 11 


40 


21 


.58552 


1.70787 


.60921 


1.64148 


•63340 


1.57879 


.65813 


I.S1946 


.68343 


1.46320 


39 


22 


.58591 


1.70673 


.60960 


1.64041 


•63380 


1.57778 


.65854 


1.51850 


.683B6 


1.46229 


38 


23 


.58631 


J. 70560 


.61000 


1.63934 


•63421 


1.57676 


.65896 


1.S1754 


.68429 


1. 46137 


37 


24 


.58670 


1.70446 


.61040 


1.63826 


•63462 


1.57S75 


•65938 


1.S1658 


.68471 


1.46046 


36 


2S 


.58709 


1.70332 


.61080 


1. 63719 


•63503 


1^57474 


.65980 


I.51562 


.68514 


1.45955 


35 


26 


.58748 


1. 70219 


.61120 


1.63612 


•63544 


I^S7372 


.66021 


1.51466 


.68557 


1-45864 


34 


27 


.58787 


1. 70106 


.61160 


1.63505 


.63584 


1-57271 


.66063 


1.51370 


.68600 


1-45773 


33 


28 


.58826 


1.69992 


.61200 


1-63398 


•63625 


1. 57170 


.66105 


1.51275 


.68642 


1.45682 


32 


29 


.58865 


1.69879 


.61240 


1.63292 


.63666 


1-57069 


.66147 


1.51179 


.68685 


1-45592 


31 


30 


.58905 


1.69766 


.61280 


1.63185 


.63707 


1.56969 


.66189 


1.51084 


.68728 


I.4SS0I 


30 


31 


.58944 


1.69653 


.61320 


1.63079 


.63748 


1.56868 


.66230 


1.50988 


.68771 


1.45410 


29 


32 


.58983 


1.69541 


.61360 


1.62972 


.63789 


1.56767 


.66272 


1.50893 


.68814 


1.45320 


28 


33 


.59022 


1.69428 


.61400 


1.62866 


.63830 


1.56667 


.66314 


1.50797 


.68857 


1.45229 


27 


34 


.59061 


1.69316 


.61440 


1.62760 


.63871 


1.56566 


.66356 


1.50702 


.68900 


1.45139 


26 


35 


.59101 


1.69203 


.61480 


1.62654 


.63912 


1.56466 


.66398 


1.50607 


.68942 


1.45049 


25 


36 


.59149 


1. 6909 1 


.61520 


1.62548 


.63953 


1.56366 


.66440 


1.50512 


.68985 


1.44958 


24 


37 


.59179 


1.68979 


.61561 


1.62442 


.63994 


1-56265 


.66482 


1. 504 1 7 


.69028 


1.44868 


23 


38 


.59218 


1.68866 


.61601 


1.62336 


.64035 


1.56165 


.66524 


1.50322 


.69071 


1.44778 


22 


39 


.59258 


1.68754 


.61641 


1.62230 


.64076 


1.56065 


.66566 


1.50228 


.69114 


1.44688 


21 


40 


.59297 


1.68643 


.61681 


1. 62125 


.64117 


1.55966 


.66608 


1. 50133 


.69157 


1.44598 


20 


41 


.59336 


1. 68531 


.61721 


1.62019 


.64158 


1.55866 


.66650 


1.50038 


.69200 


1.44508 


19 


42 


.59376 


1.68419 


.61761 


1.61914 


.64199 


1.55766 


.66692 


1.49944 


.69243 


1.44418 


18 


43 


•5941S 


1.68308 


.61801 


1.61808 


.64240 


1.55666 


.66734 


1.49849 


.69286 


1.44329 


17 


44 


.59454 


1. 68196 


.61842 


1.61703 


.64281 


1.55567 


.66776 


1.49755 


.69329 


1.44239 


16 


4S 


.59494 


1.68085 


.61882 


1.61598 


.64322 


1.55467 


.66818 


1.49661 


.69372 


1.44149 


15 


46 


•59533 


1.67974 


.61922 


1.61493 


.64363 


1.55368 


.66860 


1.49566 


.69416 


1.44060 


14 


47 


•59573 


1.67863 


.61962 


1.61388 


.64404 


1-55269 


.66902 


1.49472 


■69459 


1-43970 


13 


48 


.59612 


1.67752 


.62003 


1.61283 


.64446 


1-55170 


.66944 


1.49378 


.69502 


1.43881 


12 


49 


■59651 


1. 67641 


.62043 


1.61179 


.64487 


1-55071 


.66986 


1.49284 


■69545 


1-43792 


11 


50 


•59691 


1.67530 


.62083 


1.61074 


.64528 


1-54972 


.67028 


1.49190 


.69588 


1.43703 


10 


51 


.59730 


1.67419 


.62124 


1.60970 


.64569 


1-54873 


.67071 


1.49097 


■69631 


1.43614 


9 


52 


•59770 


1.67309 


.62164 


1.60865 


.64610 


1-54774 


.67113 


1.49003 


.69675 


1.43525 


8 


S3 


.59809 


1.67198 


.62204 


1. 60761 


.64652 


1-54675 


.67155 


1.48909 


.69718 


1.43436 


7 


54 


.59849 


1.67088 


.62245 


1.60657 


.64693 


1-54576 


.67197 


1.48816 


.69761 


1.43347 


6 


55 


.59888 


1.66978 


.62285 


1.60553 


.64734 


1-54478 


•67239 


1.48722 


.69804 


1.43258 


5 


56 


•59938 


1.66867 


.62325 


1.60449 


.64775 


1-54379 


.67282 


1.48629 


.69847 


1.43169 


4 


57 


.59967 


1.66757 


.62366 


1.60345 


.64817 


1-54281 


•.67324 


1.48536 


.69891 


1.43080 


3 


58 


.60007 


1.66647 


.62406 


1. 6024 1 


.64858 


1-54183 


.67366 


1.48442 


.69934 


1.42992 


2 


59 


.60046 


1.66538 


.62446 


1.60137 


.64899 


1-54085 


.67409 


1.48349 


.69977 


1-42903 


I 


60 


.60086 


1.66428 


.62487 


1.60033 


.64941 


1.53986 


.67451 


1.48256 


.70021 


1.42815 





/ 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


/ 


5< 


f 


5^ 


3° 


5 


7° 


5 


5° 


5 


5° 



Io8 BROWN & SHARPE MFG. CO. 

NATURAL TANGENTS AND COTANGENTS 



/ 


35° 


36° 


37° 


38° 


39° 


/ 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 





.70021 


1.4281S 


.72654 


1.37638 


.75355 


1.32704 


.78129 


1.27994 


.80978 


1.23490 


60 


I 


.70064 


1.42726 


.72699 


1^37554 


.75401 


1.32624 


■7817s 


1.27917 


.81027 


1.23416 


59 


2 


.70107 


1.42638 


.72743 


1^37470 


.75447 


1.32544 


.78222 


1.27841 


.81075 


1.23343 


S8 


3 


■70151 


1.42550 


.72788 


i^37386 


.75492 


1.32464 


.78269 


1.27764 


.81123 


1.23270 


57 


4 


.70194 


1.42462 


.72832 


1^37302 


■75538 


1.32384 


.78316 


1.27688 


.81171 


1.23196 


S6 


S 


.70238 


1.42374 


■72877 


1^37218 


•75584 


1.32304 


.78363 


1.27611 


.81220 


1.23123 


55 


6 


.70281 


1.42286 


.72921 


1^37134 


.75629 


1.32224 


.78410 


1.2753s 


.81268 


1.23050 


54 


7 


.70325 


1.42198 


.72966 


1.37050 


•7567s 


1. 32144 


■78457 


1.27458 


.81316 


1.22977 


53 


8 


.70368 


1.42110 


.73010 


1.36967 


■75721 


1.32064 


■78504 


1.27382 


.81364 


1.22904 


52 


9 


.70412 


1.42022 


.73055 


1.36883 


■75767 


1. 31984 


■78551 


1.27306 


.81413 


1. 22831 


SI 


10 


.70455 


1.41934 


.73100 


1.36800 


■75812 


1.31904 


.78598 


1.27230 


.81461 


1.22758 


so 


II 


.70499 


1.41847 


■73144 


1.36716 


.75858 


1.3182s 


.78645 


1.27153 


.81510 


1.2268s 


49 


12 


.70542 


1-41759 


■73189 


1.36633 


.75904 


1.31745 


.78692 


1.27077 


.81558 


1.22612 


48 


13 


.70586 


1. 41672 


■73234 


1.36549 


.75950 


1. 31666 


■78739 


I. 2700 I 


.81606 


1.22539 


47 


14 


.70629 


1.41584 


■73278 


1.36466 


.75996 


1.31586 


■78786 


1.26925 


.81655 


1.22467 


46 


IS 


.70673 


1.41497 


■ni22z 


1.36383 


.76042 


1.31507 


.78834 


1.26849 


.81703 


1.22394 


45 


i6 


.70717 


1.41409 


■73368 


1^36300 


.76088 


1.31427 


.78881 


1.26774 


.81752 


1. 22321 


44 


17 


.70760 


1.41322 


.73413 


1^36217 


.76134 


1.31348 


.78928 


1.26698 


.81800 


1.22249 


43 


i8 


.70804 


1.41235 


■73457 


I^36i34 


.76180 


1.31269 


•7897s 


1.26622 


.81849 


1.22176 


43 


19 


.70848 


I^41148 


.73502 


1^36051 


.76226 


1.31190 


.79022 


1.26546 


.81898 


I. 22104 


41 


20 


.70891 


I.41061 


■73547 


1.35968 


.76272 


1. 31110 


.79070 


1.26471 


.81946 


I. 2203 I 


40 


21 


.70935 


1.40974 


■73592 


1.3588s 


.76318 


1. 31031 


.79117 


1.26395 


.81995 


1. 21959 


39 


22 


.70979 


1.40887 


■73637 


1.35802 


•76364 


1.30952 


.79164 


1.26319 


.82044 


1. 21886 


38 


23 


.71023 


1.40800 


■73681 


1.35719 


.76410 


1-30873 


.79212 


1.26244 


.82092 


1.21814 


37 


24 


.71066 


I.40714 


.73726 


i^3S637 


.76456 


1.30795 


•79259 


1.26169 


.82141 


1.21742 


36 


2S 


.71110 


1.40627 


■73771 


1^35554 


.76502 


1.30716 


.79306 


1.26093 


.82190 


1.21670 


35 


26 


.71154 


1.40540 


■73816 


1^35472 


.76548 


1.30637 


•79354 


1.26018 


.82238 


1.21598 


34 


27 


.71198 


1.40454 


.73861 


1-35389 


■76594 


1-30558 


.79401 


1.2S943 


.82287 


I. 21526 


33 


28 


.71242 


1.40367 


.73906 


1^35307 


.76640 


1.30480 


•79449 


1^25867 


.82336 


1.21454 


32 


29 


.71285 


1.40281 


■73951 


1^35224 


.76686 


1.30401 


•79496 


1.25792 


.8238s 


1.21382 


31 


30 


.71329 


I.40I9S 


•73996 


1^35142 


.76733, 


1.30323 


•79544 


1.25717 


.82434 


1.21310 


30 


31 


■71373 


1.40109 


■74041 


1.35060 


■76779 


1.30244 


•79591 


1.25642 


.82483 


1.21238 


29 


32 


.71417 


1.40022 


.74086 


1.34978 


■76825 


1-30166 


•79639 


1^25567 


.82531 


1. 21166 


28 


33 


.71461 


1.39936 


■74131 


1.34896 


■76871 


1.30087 


.79686 


1.25492 


.82580 


1.21094 


27 


34 


.71505 


1.39850 


■74176 


1.34814 


■76918 


1.30009 


.79734 


1.25417 


.82629 


1. 21023 


26 


35 


■71549 


1.39764 


.74221 


1.34732 


■76964 


1.29931 


.79781 


I. 25343 


.82678 


1.20951 


2S 


36 


•71593 


1.39679 


■74267 


1^34650 


.77010 


1-29853 


.79829 


1.25268 


.82727 


1.20879 


24 


37 


■71637 


1. 39593 


■74312 


i^34S68 


.77057 


1^29775 


.79877 


1.25193 


.82776 


1.20808 


23 


38 


.71681 


1.39507 


■74357 


1.34487 


.77103 


1.29696 


.79924 


1.25118 


.82825 


1.20736 


22 


39 


■71725 


1.39421 


.74402 


1-34405 


.77149 


1.29618 


.79972 


1.25044 


.82874 


1.2066s 


21 


40 


.71769 


1.39336 


■74447 


1-34323 


.77196 


1.29541 


.80020 


1.24969 


.82923 


1.20593 


20 


41 


■71813 


I ■ 39250 


.74492 


1.34242 


.77242 


1.29463 


.80067 


1.2489s 


.82972 


1.20522 


19 


42 


.71857 


I^39l65 


.74538 


1.34160 


.77289 


1.29385 


.80115 


1.24820 


.83022 


1.20451 


18 


43 


.71901 


1.39079 


.74583 


1.34079 


•77335 


1.29307 


.80163 


1.24746 


.83071 


1.20379 


17 


44 


.71946 


1.38994 


.74628 


1.33998 


.77382 


1.29229 


.80211 


1.24672 


.83120 


1.20308 


16 


4S 


.71990 


1.38909 


.74674 


1.33916 


.77428 


1.29152 


.80258 


1.24597 


.83169 


1.20237 


IS 


46 


.72034 


1 ■33324 


.74719 


1.33835 


.77475 


1.29074 


.80306 


1.24523 


.83218 


1. 20166 


14 


47 


.72078 


l^38738 


.74764 


1^33754 


■77521 


1.28997 


.80354 


1.24449 


.83268 


I. 20095 


13 


48 


.72122 


I ■38653 


.74810 


I ■33673 


■77568 


1.28919 


.80402 


1.24375 


.83317 


1.20024 


12 


49 


.72167 


1.38568 


■74855 


1^33592 


■7761s 


1.28842 


.80450 


1.24301 


.83366 


1.19953 


11 


SO 


.72211 


1.38484 


.74900 


1.33511 


.77661 


1.28764 


.80498 


1.24227 


.8341s 


I. 19882 


10 


SI 


.72255 


1.38399 


.74946 


1.33430 


.77708 


1.28687 


.80546 


1.24153 


.83465 


I.I98II 


9 


S2 


.72299 


1.38314 


.74991 


1.33349 


.77754 


1,28610 


•80594 


1.24079 


.83514 


1.19740 


8 


S3 


.72344 


1.38229 


.75037 


1.33268 


.77801 


1-28533 


.80642 


1.2400s 


.83564 


1. 19669 


7 


S4 


.72388 


1.38145 


.75082 


1.33187 


.77848 


1.28456 


.80690 


1.23931 


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1.19599 


6 


5S 


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1.38060 


.75128 


1.33107 


.77895 


1.28379 


.80738 


i^23858 


.83662 


1.19528 


5 


S6 


■72477 


1.37976 


.75173 


1^33026 


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1.28302 


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1.23784 


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1.19457 


4 


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1.37S91 


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1.32046 


.77988 


1.28225 


.80834 


1.23710 


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1.19387 


3 


S8 


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1.37807 


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1.3286s 


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1.28148 


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1.23637 


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1.I93I6 


2 


59 


.72610 


1.37722 


■75310 


1.3278s 


.78082 


1.28071 


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1.23563 


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1.19246 


1 


6o 


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1.37638 


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1.32704 


.78129 


1.27994 


.80978 


1.23490 


.83910 


1.1917s 





1 


Cotang 


Tang 


Cotang 


Tang 


Cotannr 


Tang 


Cotang 


Tang 


Cotang 


Tang 


1 


5^ 


t° 


52 





52 





51 





5c 


)° 



BROWN & SHARPE MFG. CO. 



109 



NATURAL TANGENTS AND COTANGENTS 



/ 


40° 


4 


[° 


42° 


43° 


44° 


/ 




Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 





.83910 


1.19175 


.86929 


1-15037 


.90040 


1.11061 


.93252 


1.07237 


.96569 


1.03553 


60 


I 


.83960 


1. 1910s 


.869S0 


I. 14969 


.90093 


1.10996 


.93306 


1.07174 


.96625 


1.03493 


59 


3 


.84009 


1. I 9035 


.87031 


1.14902 


.90146 


1.10931 


.93360 


1.07112 


.96681 


1.03433 


58 


3 


.84059 


1.18964 


.87082 


1.14834 


.90199 


1.10S67 


.93415 


1.07049 


.96733 


1-03372 


57 


4 


.84108 


1.18894 


.87133 


1.14767 


.90251 


1.10802 


.93469 


1.069S7 


.96794 


1-03312 


56 


S 


.84158 


1.18824 


.87184 


1. 14699 


.90304 


1. 10737 


.93524 


1.06925 


.96S30 


1.03252 


55 


6 


.84208 


1-18754 


.87236 


1. 14632 


■90357 


1.10672 


.93578 


1.06862 


.96907 


1.03192 


54 


7 


.84258 


1. 1 8684 


.87287 


1.14565 


.90410 


1. 10607 


.93633 


1.06800 


.96963 


1.03132 


53 


8 


.84307 


I.I86I4 


.87338 


1.14498 


.90463 


1.10543 


.93688 


1.06738 


.97020 


1.03072 


52 


9 


•S4357 


I. 18544 


.87389 


1.14430 


.90516 


I. 10478 


.93742 


1.06676 


.97076 


1.03012 


SI 


10 


.84407 


1.18474 


.87441 


1. 14363 


.90569 


1.10414 


.93797 


1. 066 1 3 


.97133 


1.02952 


SO 


II 


.84457 


I. I 8404 


.87492 


1.14296 


.90621 


1.10349 


.93852 


1.06551 


.971S9 


1.02892 


49 


12 


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1.18334 


.87543 


1.14229 


.90674 


1.102S5 


.93906 


1.06489 


.97246 


1.02832 


48 


13 


.84556 


1.18264 


.87595 


1.14162 


.90727 


1.10220 


.93961 


1.06427 


.97302 


1.02772 


47 


14 


.84606 


1. 18194 


.87646 


1.14095 


.90781 


1-10156 


.94016 


1.06365 


.97359 


1.02713 


46 


IS 


.84656 


1.18125 


.87698 


1.14028 


.90834 


1. 10091 


.94071 


1.06303 


.97416 


1.02653 


45 


16 


.84-06 


1.18055 


.87749 


I. 13961 


.90887 


1.10027 


•9412s 


1. 0624 1 


.97472 


I. 02593 


44 


17 


.84756 


1.17986 


.87S01 


1.13S94 


.90940 


1.09963 


.94180 


1.06179 


•97529 


1.02533 


43 


18 


.84806 


1.17916 


.87852 


1.13S28 


■90993 


1.09899 


.94235 


1.06117 


.97586 


1.02474 


42 


19 


.84856 


1.I7S46 


.87904 


1. 13761 


.91046 


1.09S34 


.94290 


1.06056 


.97643 


1. 02414 


41 


20 


.84906 


1.17777 


.87955 


1.13694 


■91099 


1.09770 


.94345 


1.05994 


•97700 


1-02355 


40 


2: 


.84956 


1.17708 


.88007 


1.13627 


.91153 


1.09706 


.94400 


1.05932 


•97756 


1.0229s 


39 


22 


.85006 


1.17658 


.88059 


1.13561 


.91206 


1.09642 


.94455 


1.05870 


.97813 


1.02236 


38 


23 


.85057 


1.17569 


.88110 


1. 13494 


.91259 


1.09578 


.94510 


1.05S09 


.97870 


1.02176 


37 


24 


.85107 


1.17500 


.88162 


1.1342S 


.91313 


1. 095 1 4 


.94565 


I.0S747 


.97927 


1.02117 


36 


2S 


.85157 


1.17430 


.88214 


1. 13361 


.9136Q 


1.09450 


.94620 


I.056S5 


.97984 


1. 02057 


35 


26 


.85207 


1.17361 


.88265 


1.13295 


.91419 


1.093S6 


.94676 


1.05624 


.98041 


I.OI998 


34 


27 


.85257 


1.17292 


.88317 


1.13228 


.91473 


1.09322 


.94731 


1.05562 


.98098 


1.01939 


Zi 


28 


.85308 


1.17223 


.88369 


1.13162 


.91526 


1 .09258 


.94786 


1.05501 


.98155 


1.01879 


32 


29 


.85358 


1.17154 


.88421 


1.13096 


.91580 


1.09195 


.94841 


1.05439 


.98213 


I.OI820 


31 


30 


.85408 


1.170S5 


.88473 


I. I 3029 


.91633 


1.09131 


.94896 


1.05378 


.98270 


I.OI76I 


30 


31 


.85458 


1. 17016 


.88524 


I. I 2963 


.91687 


1.09067 


.94952 


1.05317 


.98327 


1.01702 


29 


32 


.85509 


I. 16947 


.88576 


1.12897 


.91740 


1.09003 


.95007 


1.05255 


.98384 


1.01642 


28 


33 


.85559 


1.16878 


.8S628 


1.12831 


.91794 


1.0S940 


.95062 


1.05194 


.98441 


I.OI583 


27 


34 


.85609 


I. I 6809 


.8S680 


1. 1 2765 


.91S47 


1.08876 


.95118 


1.05133 


.98499 


1.01524 


26 


35 


.85660 


I. 16741 


.88732 


1.12699 


.91901 


i.oS3i3 


.95173 


1.05072 


.98556 


1.0146s 


25 


36 


.85710 


1.16672 


.88784 


1.12633 


.91955 


1.08749 


.95229 


1.05010 


.98613 


1.01406 


24 


37 


.85761 


1.16603 


.88S36 


1. 12567 


.92008 


1.0S6S6 


.95284 


1.04949 


.98671 


1.01347 


23 


38 


.85S11 


1.16535 


.88888 


1. 1 2501 


.92062 


1.08622 


.95340 


1.04888 


.98728 


I.OI288 


22 


39 


.85862 


1.16466 


.88940 


1.1243s 


.92116 


1.08559 


.95395 


1.04827 


.987S6 


I. 01229 


21 


40 


.85912 


1.16398 


.88992 


1.12369 


.92170 


1.08496 


.95451 


1.04766 


.98843 


I.OII70 


20 


41 


.85963 


1. 16329 


.89045 


I. 12303 


.92224 


1.0S432 


.9SS06 


1.04705 


.98901 


I.0III2 


19 


42 


.86014 


1. 16261 


.89097 


1.12238 


.92277 


1.08369 


.95562 


1.04644 


.98958 


1.010S3 


18 


43 


.86064 


1.16192 


.89149 


1. 12172 


.92331 


1.08306 


.95618 


1.04583 


.99016 


1.00994 


17 


44 


.86115 


1.16124 


.89201 


1.12106 


.92385 


1.08243 


.95673 


1.04522 


.99073 


1.00935 


16 


4S 


.86166 


1.16056 


.89253 


1.12041 


.92439 


1.0S179 


.95729 


1.04461 


.99131 


1.00S76 


15 


46 


.86216 


1.15987 


.89306 


1.11975 


.92493 


1.0S116 


.95785 


I.04401 


.99189 


1.00818 


14 


47 


.86267 


1. 15919 


.89358 


1.11909 


.92547 


1.08053 


.95841 


1.04340 


.99247 


1.00759 


13 


48 


.86318 


1.15851 


.89410 


1. 11844 


.92601 


1.07990 


.95897 


1.04279 


.99304 


1. 00701 


12 


49 


.86368 


1.15783 


.89463 


1. 11778 


.92655 


1.07927 


.95952 


1.04218 


.99362 


1.00642 


II 


50 


.86419 


1.15715 


.89515 


1. 11713 


.92709 


1.07864 


.96008 


1.04158 


.99420 


1.00583 


10 


51 


.86470 


1.15647 


.89567 


1.11648 


.92763 


I. 07801 


.96064 


1.04097 


.99478 


1.00525 


9 


52 


.86521 


1.15579 


.89620 


1.11582 


.92817 


1.07738 


.96120 


1 .04036 


.99536 


1.00467 


8 


53 


.86572 


1.15511 


.89672 


1.11517 


.92872 


1.07676 


.96176 


1.03976 


.99594 


1.00408 


7 


54 


.86623 


1.15443 


.89725 


1.11452 


.92926 


1. 07613 


.96232 


1.0391S 


.99652 


l.oq350 


6 


55 


.86674 


1-15375 


.89777 


1.11387 


.92980 


I.07S50 


.96288 


1.0385s 


.99710 


1.00291 


5 


56 


.86725 


1. 1 5308 


.89830 


1.11321 


.93034 


1.07487 


.96344 


1.03794 


.99768 


1.00233 


4 


57 


.86776 


1.15240 


.89883 


1.11256 


.93088 


1.0742s 


.96400 


1.03734 


.99826 


1.0017s 


3 


58 


.86827 


1.15172 


.89935 


1.11191 


.93143 


1.07362 


.96457 


1.03674 


.99884 


1.00116 


2 


59 


.86878 


1.15104 


.89988 


1.11126 


.93197 


1.07299 


.96513 


1.03613 


.99942 


1.00058 


I 


60 


.86929 


1.IS037 


.90040 


1.11061 


.93252 


1.07237 


.96569 


1.03553 


1. 00000 


I. 00000 





1 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


Cotang 


Tang 


/ 


4< 


?° 


4^ 


?° 


4: 


7° 


4( 


3° 


4 


-0 
3 



Table of Angles for Gashing 
Worm Wheels. 

The following table gives the angle with the axis of the 
Avorm wheel to which the cutter is to be set for gashing the teeth 
of Avorni wheels when the pitch diameter and lead of the worm 
are known. 

If the worm has a pitch diameter which is not given exactly 
in the table, the angle can be approximated from the nearest 
sizes entered so as to be well wdthin working limits. 



112 



BROWN & SHARPE MFG. CO. 






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BROWN & SIIARPE MFG. CO. 



113 



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■Sy3±3!AlVia HOlId 



Tables of Prime Numbers and Factors. 

1 to 10200. 

In making use of these tables, the following explanation 
may be of assistance : the two columns at the left give the 
last two figures of the number to be factored ; the first column 
gives all numbers to 50 and the second column froin 50 to 100. 

Example i. — Required, the factors of 138. Refer to the 
column of numbers from 100 to 150 and follow^ down the 
column until opposite 38 in the left-hand column ; the factors 
are found to be 3 X 3 X 23. 

Example 2. — Required, the factors for 1673. Refer to 
the column of numbers from 1650 to 1700 and follow down the 
column until opposite 73 in the second column at the left ; the 
factors are found to be 2^ X n X 19 or, more conveniently 
stated for factoring, 2X2X2XiiXi9' 



ii6 



BROWN & SHARPE MFG. CO. 

Prime Numbers and Factors, J-300. 



From 


To 




o 


50 


I 


51 


3 


53 


3 


53 


4 


54 


5 


55 


6 


56 


7 


57 


8 


5« 


9 


59 


lO 


60 


II 


61 


la 


62 


1,3 


63 


14 


64 


15 


65 


i6 


66 


17 


67 


i8 


68 


19 


69 


20 


70 


21 


71 


22 


72 


33 


73 


24 


74 


25 


75 


26 


76 


27 


77 


28 


78 


29 


79 


30 


80 


31 


81 


32 


82 


33 


«3 


34 


84 


35 


85 


36 


86 


37 


87 


38 


88 


39 


89 


40 


90 


41 


91 


43 


92 


43 


93 


44 


94 


45 


95 


46 


96 


47 


97 


48 


98 


49 


99 


L50_ 


100 



o 

50 



50 

100 



100 

150 



150 

200 



200 
350 



250 
300 



2-= 

2-3 



2" 

2-5 



2-^.3 



2.7 
3-5 



2-3 

2-2.5 

3-7 

2-II 



2-'-3 

2-13 

3^ 

22.7 



2-3-5 



3-11 

2-17 

5-7 
22.32 



2-19 
3-13 

2'-5 



2-3-7 



2-23 



2'».3 

2.52 



2-5=' 

3-17 
2^-13 



2.33 

2^.7 

3-19 
2-29 



2'-3-5 



2*31 
3^-7 

2« 

5-13 

2-3-II 



2-'-I7 

3-23 

2-5-7 



2'^-3" 



2-37 

3-5^ 

2^.19 

7-n 

2-3-I3 



2^-5 

3* 
2-41 



2^.3.7 
5-17 
2-43 
3-29 

2^-11 



2-3'-5 

7-13 
22.23 

3-31 

2-47 

5- '9 
25.3 



-■ r 
32.11 

22.^^2 



2^.5^ 
2.3.17 



2'. 13 

3-5-7 
2-53 



2^-T' 



2-5.11 

3-37 

2^.7 



2.3.19 

5-23 
2^.29 

3^-13 
2-59 

7.17 



2-61 
3-41 



2-3'-7 



2' 

3-43 

2-5-I3 



2-3-5' 



2''.I9 

32.17 

2. 7. II 
5-31 

2'-3-i3 



2-79 
3-53 
2^-5 

7-23 



2^.41 

3-5-II 
2.S3 



2^.3.7 

13^ 
2-5-I7 

3^-19 
2-^-43 



2.3-29 

5'^- 7 

2''.II 

3-59 
2.89 



2^.3-11 
7.19 

2.67 

3^'-5 
28-17 

2-3-23 

2'-5-7 

3-47 
2.71 
11-13 

5-29 

2-73 
3-7-^ 

2--37 



2-7-I3 
3-61 

2''-23 

5-37 
2-3-3I 
11-17 
22.47 

3'^-7 
2-5-19 



2^-3 



2.97 

3-5-I3 

2^72 



2-5 

3-67 

2-IOI 

7.29 

22.3.17 

5.41 

2-103 

3'-23 

2^.13 

11-19 
2-3-5-7 



2'-53 

3-71 

2-107 

5-43 
2 J. 33 

7-31 
2-109 

3-73 
22.5. II 

13-17 
2-3-37 



2 -'.7 

■3^-5^ 
2.113 



3-7-II 
2^-29 



2-3^-i3 

5-47 
2 "-59 
3-79 
2-7-17 



•3-5 



2-3 -11 



2-3-.r 



2-'-5^ 



2-II2 

3'' 
22.61 

5-7' 
2-3-41 

13-19 
2 '-3 1 

3-S3 

2.53 



2-5' 



22.3.19 
2-5-23 



2^.32.7 
11.23 
2-127 
3-5-17 



2-3-43 

7-37 

2--5-I3 

32.29 
2-131 

2^.3.11 

5-53 
2.7.19 

3-S9 

22.67 



21.17 
3-7-13 
2-137 
52.11 

2^-3-23 

2-139 

3'-3i 

23.5.7 



2-3-47 

22.71 

3-5-19 

2-11-13 

7.41 

2.5.32 

172 
2-5.29 

3-97 

22.73 

2-3-72 

5-59 
23.37 

33.11 
2-149 
13-23 
2 ^•3-5^ 



BROWN & SHARPE MFG. CO. 

Pfime Numbers and Factors, 300-600. 



117 



From 
To 



o 

I 
z 
3 
4 
5 
6 

7 
8 

9 
10 

II 
13 
13 
14 
15 
16 

17 
18 

19 
20 

21 
33 
23 
24 
25 
26 
27 
28 
29 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 

42 
43 
44 
45 
46 
47 
48 

49 

L50_ 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 

79 
80 

81 
82 
83 
84 
85 
86 
87 
88 

89 
90 

91 
92 
93 
-94 
95 
96 

97 

98 

99 

100 



300 
350 



- yb 

7-43 

2-151 

3-IOI 

2^-19 

5.61 

2-3^-i7 



3-103 
2-5-3I 



23.3.13 

2-157 
3'-5-7 
22.79 



2-3-53 
11.29 

2 "•5 

3.107 
2-7-23 
17-19 

2^.3-t 

5'- 13 
2.163 
3.109 
23.41 

7-47 
2-3-5-II 



2-83 

3'-37 

2.167 

5-^^7 
2^-3-7 

2.132 

3-113 

2 --5- 17 

II. 31 
2.32.19 

2^-43 
3-5-23 
2-173 

22.3.29 

2-S--7 



350 
400 



2-5--7 
3'-i3 



2-3-59 
5-71 

22.S9 

3-7-17 
2.179 



192 
2.1S1 

3-112 

2'-7-i3 

5-73 

2-3-61 



2^.23 
3'-4i 
2-5-37 

7-53 
2'-3-3i 

2. II. 17 

3-5' 

2 '-47 

13-29 
2.33.7 

22.5.19 

3-127 
2. 191 



2'-3 

5-7-II 

2.193 

3'-43 

22.97 



2-3-5-I3 

17-23 

23.72 

3-131 
2.197 

5-79 
22.32.11 

2-199 

3-7-19 

2-1.52 



400 

450 



2-1.5' 



2.3.67 

13-31 
22.101 

3'-5 
2-7-29 
11-37 
23.3.17 

2.5.41 

3-137 
22.103 

7-59 
2-3'-23 

5-83 

2'. 13 

3-139 
2.1I-I9 

2'-3-5-7 



2-211 

3'-47 
2 '-53 
5 '-17 
2-3-71 
7-61 
22.107 
3-"-i3 
2-5-43 



2^.y 



2-7-31 
3-5-29 
22.109 

19-23 
2-3-73 



23.5.11 

3'-7' 
2.13-17 

2'-3-37 
5 -89 

2-223 

3-149 

2«-7 

2-3'-5' 



450 
500 



2-3--5 

11-41 

22.113 

3-151 
2-227 

5-7-13 
23-3-19 



2-229 

33.17 

2'-5-23 



2-3-7. II 

2^-29 

3-5-31 
2-233 

22.32.13 

7.67 

2-5-47 

3-157 
23.59 

"•43 
2-3-79 
5'-i9 
22.7.17 

3'-53 
2-239 

2 '-3-5 

13-37 
2.241 

3-7-23 
22.112 

5-97 
2.35 

23.61 
3-163 

2-5-7^ 



22.3.41 

17-29 
2.13.19 

3'-5-ii 



U 



I 



2-3-83 



500 
550 



2 -.5 3 
3.167 
2-251 



23. 3-. 7 

5-101 

2.11-23 

3-13' 

22.127 

2-3-5-17 

7-73 

29 

33.19 

2-257 
5-103 

2'-3-43 
11-47 

2-7-37 
3-173 
2'-5-i3 



2.32.29 

22.131 

3-5'-7 
2-263 

17-31 
2^.3-11 

23' 
2-5-53 

3--59 
22.7.19 

13-41 
2-3-89 
5-107 
23.67 

3-179 
2-269 
72.11 

2--3'-5 



2-271 
3-iSi 
2-^-17 
5-109 
2-3-7-13 



^si 



2--i; 
32-61 



550 
600 



19-29 

2'-3-23 
7-79 

2.277 

3-5-37 
22.139 

2-3'-3i 
13-43 

2^-5-7 

3-11-17 
2-2S1 

2^-3-47 
5-113 

2-2S3 

3^-7 
23.71 

2-3-5-19 



22-1 1-13 

3-I9I 

2-7-41 

26.32 

2-172 

3-193 
22.5.29 

7-83 

2-3-97 

11-53 
23.73 

2.293 

22.3.72 

19-31 
2-5-59 

3-197 
2^-37 

2.33.11 
5-7-17 

22.1^19 

3-199 
2-13-23 

2'^-3-5^ 



Il8 BROWN & SHARPE MFG. CO. 

Prime Numbers and Factors, 600-900. 



From 
To 



o 
I 
z 
3 
4 
5 
6 

7 
8 

9 

lO 

II 

13 

13 
14 
15 
i6 

17 
i8 

19 

20 

ai 
22 
23 
24 
25 
26 
27 
28 
29 
30 

31 
33 
33 
34 
35 
36 
37 
38 
39 
40 

41 

43 

43 
44 
45 
46 

47 
48 

49 
.50_ 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
73 
73 
74 
75 
76 

77 
78 
79 
80 

81 
83 
83 
84 
85 
86 

87 
88 

89 
90 

91 
93 

93 
94 
95 
96 

97 

98 

99 

100 



600 
650 



2'-3-5' 



2-7-43 
32.67 
22.151 
5-1 1^ 

2-3-IOI 

25.19 

3-7-29 
2.5.61 

13-47 

2^.32.17 

2-307 
3-5-4I 

2-'. 7. II 
2.3.103 

2'-5-3i 



3'-23 
2. 311 
7.89 
2^-3-i3 

2-313 
3. II. 19 

2 '-157 
17-37 

2-3'-5-7 



23.79 
3.211 

2-317 
5-127 

2^-3-53 

7^-13 

2.11-29 

3'-7i 

2'-5 



2.3.107 

22.7.23 

3-5-43 
2-17-19 

2^-3* 
11-59 
2-5jjL3 



650 
700 



2-5'-i3 

3-7-31 

22.163 

2.3.109 

5-131 
2^.41 

3'-73 

2-7-47 



22.3. 5. II 



2-331 

3-13-17 

23.83 

5-7-19 
2-3^-37 
23-29 
22.167 

3-223 
2-5-67 

II. 61 
25.3.7 

2-337 

3' -5^ 
22.132 

2-3-113 
7-97 

23.5.17 

3-227 
2. II. 31 

22.32.19 

5-137 

2-73 

3.229 
2*-43 
13-53 



22.173 
32.7.11 

2-347 
5-139 
23.3.29 

17-41 
2-349 

3-233 

22.52.7 



700 
750 



-5^-7 



2-33.13 

19-37 
26.11 

3-5-47 
2-353 
7-101 

2'-3-59 



2-5-71 

3'-79 
23.89 

23-31 
2.3.7.17 

5-11-13 
22.179 

3-239 
2-359 

2^-3'-5 

7-103 
2.192 

3-241 
22.1S1 
52.29 
2-3-112 

23.7.13 

3" 

2-5-73 

17-43 
22.3-61 

2.367 

3-5-7^ 
2^-23 
11-67 
2-32.41 

2^-5-37" 

3-13-19 
2-7-53 

23.3.31 

5-149 
2-373 
3^-83 
22. II. 17 

7.107 
2- 3-5' 



750 
800 



2-3-5^ 



2^.47 

3-251 
2-13-29 

5-151 
22.33.7 

2-379 

3-11-23 

23.5.19 



2-3-127 

7.109 

22.191 

3'-5-i7 

2-383 

13-59 
28.3 

2.5.7.11 

3-257 
22.193 

2-3'-43 

5'-3i 
23.97 

3-7-37 
2-389 

19-41 
2--3-5-I3 

11-71 

2-17-23 
33.29 

2^.72 

5-157 
2-3-131 

22-197 

3-263 

2-5-79 

7-113 
23.32.11 

13-61 

2-397 

3-5-53 
22.199 

2-3-7-19 
17-47 

25.52 ■ 



800 
850 



2=^.52 
32.S9 
2-401 

11-73 
22.3.67 

5-7-23 

2-13-31 

3-269 

23.IOI 



2-3^-5 



2^.7-29 

3-271 
2-11.37 

5-163 
2^-3-17 
19-43 
2-409 

3'-7-i3 
22.5.41 



2-3-137 

23.103 
3-5'-ii 
2-7-59 

22.32.23 
2-5-S3"'" 



3-277 
26.13 

72.17 

2-3-139 

5-167 

22.11-19 

3^-31 
2-419 

2'-3-5-7 

292 
2-421 
3-281 
22.211 

5-13' 

2-3'-47 
7.112 

2*-53 
3-283 
2-5^-i7 



850 
900 



2-52.17 

23-37 
22.3-71 

2"7.6i'""' 

3'-5-i9 
23.107 

2. 3. II. 13 



2--5-43 

3-7-41 
2-431 

25. ,3 

5-173 

2-433 
3-17^ 
22.7-31 

11-79 
2-3-5-29 

13-67 
23.109 

3'-97 
2-19-23 

5'-7 
2'-3-73 

2-439 
3-293 
2^.5.11 



22.13.17 

3-5-59 

2-443 

23.3.37 

7.127 

2.5.89 

34.11 

22.223 

19-47 

2-3-149 

5-179 

2'. 7 
3-13-23 

2-449 
29.31 

22.32. :j2 



BROWN & SHARPE MFG. CO. 

Prime Numbers and Factors, 900-1200. 



119 



From 
To 



900 

950 



950 

1000 



1000 
1050 



1050 

IIOO 



IIOO 

1150 



1150 
laoo 



o 

I 

3 
4 
5 
6 

7 
8 

9 
10 

II 
13 
13 
14 
15 
16 

17 
18 

19 
20 

21 

22 
23 
24 
35 
26 
27 
28 
29 
30 

31 
33 
33 
34 
35 
36 
37 
38 
39 
40 

41 
43 
43 
44 
45 
46 

47 
48 
49 
50 



50 
51 
53 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 

67 
68 
69 
70 

71 
73 
73 
74 
75 
76 
77 
78 
79 
80 

81 
82 
83 
84 
85 
86 
87 
88 
89 
90 

91 
93 
93 
94 
95 
96 

97 

98 

99 

100 



2"-3"-5"' 
17-53 

2-II-4I 

3-7-43 

2'*'I 13 

5-iSi 
2-3-I5I 

22.227 
2-5-7-I3 



2^.3.19 
11-83 

2-457 
3-5-61 
22.229 

7-131 

2.3^.17 

23.5.23 

3-307 
2-461 

13-71 
2--3-7.11 

5'-37 
2-463 
32.103 
25.29 

2-3-5-31 

72.19 
2--233 

3-3" 
2-467 
5-11-17 
23.32.13 

2-7-67 
3-313 

2--5-47 



2-3-157 
23-41 
2^-59 
3'-5-7 
2-1 1-43 

22.3.79 

13-73 
2-5'-i9 



2-5-- 19 

3-317 

2^-7-17 

2-3'-53 

5- 191 

22.239 

3-11-29 

2-479 

7-137 

2*^-3-5 



3-37 
-.107 
2-241 

193 

3-7-23 



17-19 
5-97 



■•3' 
139 
4S7 

3-5'-i; 
2-1-61 



2-3-163 

1 1 -89 

22.5.72 

32.109 
2-491 



2'*-3-4i 

5-197 

2-17-29 

3-7-47 
22.13.19 

23-43 
2-32. 5.11 



2^.31 

3-331 
2-7-71 

5-199 
2--3-S3 

2-499 
3'-37 



- -.-I 

7-11-13 

2-3-167 

17-59 

22.251 

3-5-67 
2-503 

19-53 

2-4.32.7 

2-5-101 

3-337 
22-11.23 

2.3.132 
5-7-29 

2^. 127 

3'-ii3 
2-509 



-5'-7 



22.3.5.17 



2-7-73 

3-11-31 

2 1 " 

5'-4i 

2-3'-i9 

13-79 

22.257 

3-7' 
2-5-103 



-3-43 



2-11.47 
3'-5-23 
2--7-37 
17-61 

2-3-173 

2^-5-13 

3-347 

2-521 

7-149 

22.32.29 

5-11-19 

2-523 

3-349 

23.131 

2 -3-5 '-7 



2^-263 

3'-i3 
2-17-31 
5-2 1 1 
25.3.11 

7-151 

3-353 

2--5-53 



2-3--59 



23.7.19 
3-5-71 

2-13-41 

11-97 

22.3.89 



2-5.107 

32.7.17 

2^-67 

29-37 

2-3-179 

5 '-43 

22.269 

3-359 

2-72. II 

13-83 

23.33.5 

23-47 
2-541 
3-19' 

22.271 

5-7-31 
2-3.181 

2*^-17 
32.112 

2-5.109 



22.3.7.13 

2-547 

3-5-73 
23-137 

2-32.61 

7-157 

22-52.11 



22.52.11 

3-367 
2-19-29 

2*-3-23 

5-13-17 

2-7-79 

3'-4i 

22.277 

2-3-5-37 



2-139 

3-7-53 

2-557 

5-223 

2'-3'-3i 

2-13-43 
3-373 

2 -'-5-7 

19-59 
2-3-11-17 

22.281 " 

3'-5* 

2-563 

7^-23 

2'-3-47 

2-5-113 

3-13-29 

22.283 

11-103 

2-3^-7 
5-227 
2^.71 

3-379 
2-569 

17-67 
22.3.5.19 

7-163 
2-571 

32.127 

23. II. 13 

5-229 

2-3-191 

31-37 

22.7.41 

3-383 

2-5'-23 



2-5'-23 
2'-3' 

2-577 

3-5-7-11 

22.172 

13-89 
2-3-193 
19-61 
23.5.29 

3' -43 
2-7-83 

2'-3-97 
5-233 
2-11-53 
3-389 

2^-73 
7-167 

2-3'-5-i3 



2--293 
3-17-23 

2-587 

5'-47 
23.3.72 

1 1- 107 

2-19-31 

3'-i3i 

2--5-59 



2-3-197 

7-13' 

25.37 

3-5-79 
2-593 

22.33. n 

29-41 
2-5-7.17 

3-397 
23-149 

2-3.199 

5-239 

22.13.23 

32.7.19 

2-599 
11.109 

- J 5 



I20 BROWN & SHARPE MFG. CO. 

Prime Numbers and Factors, 1200-J500, 



From 
To 



o 

I 

2 
3 
4 
5 
6 

7 
8 

9 
lo 

II 

12 

13 
14 
15 
i6 

17 
l8 
19 

20 

21 
22 
23 
24 
25 
36 
27 
28 
29 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 
47 
48 
49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 

72 
73 
74 
75 
76 

77 
78 
79 
80 

81 
83 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 

98 

99 

100 



1200 
1250 



•3-5^ 



2-6oi 

3.401 

2'-7-43 

5-241 

2.3^.67 

17.71 

2^.151 

3-i3'-3i 

2.5. 1 1^ 

7-173 
2^.3-101 

2-607 
3 '-5 

2''-l(.J 

2.3.7.29 

23-53 
2^.5.61 

3'"-37 
2-13-47 

23.32.17 

5^-7^ 
2-613 

3-4"9 
22.307 

2-3-5-41 



2*.7.ii 

3^-137 
2-617 

5-13-19 
2^.3-103 

2-619 
3-7-59 
2'-5-3i 

17-73 
2-3^.23 
11.113 
22.311 

3-5-83 

2.7.89 

29-43 
2-'-3-i3 



2-5i. 



1250 
1300 



2-5* 

3'-i39 

22.313 

7.179 
2.3.11.19 

5-251 

23.157 

3-419 
2-17-37 

2''-3'-5-7 

13-97 
2-631 

3-421 

2^-79 

5-11-23 

2-3-21 1 

7-181 

22.317 

3-' -47 
2-5.127 

31-41 
2 -3*53 
19.67 
2.7^.13 

3-5'-i7 
22.11.29 



2.32.71 

2«.5 

3.7-61 
2-641 

22.3.107 

5-257 
2-643 
32.11.13 

2^'-7-23 
2-3-5-43 



22.17.19 

3-431 
2.647 

5-7-37 

2-11-59 

3-433 
22.52.,^ 



1300 
1350 



2'-5--i3 
2-3-7-31 

2^.1 63 

3'-5-29 

2-653 

22.3.109 

7-11-17 

2-5-131 

3-19-23 

2^.41 

13.101 

3'-73 
263 

'-7-47 

439 

659 



23.3.5.11 



2.661 

33.72 

22.331 

5'-53 
2-3-13-17 



2 '.S3 

3-443 
2.5-7-19 



2^-3^-37 

31-43 

2-23-29 

2^.167 

7.191 

2.3.223 

13-103 

22.5.67 

3^-149 
2-11.61 

17-79 

2«.3-7 

5-269 
2-673 
3-449 

2--337 
19-71 

2-3^'. ^2 



1350 
1400 



2.33.52 

7-193 
23.132 

3-11-41 

2.677 

5-271 
22.3. 113 

23-59 

2-7-97 
3^-151 

2^.5.17 



2-3-227 

29-47 
22.11.31 

3-5-7-13 
2-683 

23.32.19 

37^ 
2-5-137 

3-457 

22.73 

2.3.229 

53.11 

25.43 

3*-i7 

2-13-53 

7.197 

2^-3-5-23 



2-691 
3-461 
23.173 

5-277 
2.32. 7. II 

19-73 
2^-347 
3-463 
2-5-139 

13-107 

2^.3.29 

7.199 

2-17-41 

3-'-5-3i 

2--349 

11-1:7 

2-3-233 

23. ^2. 7. 



1400 

1450 



23.52.7 

3-467 
2-701 

23-61 

2'^. 33. 13 

5-2S1 

2-19-37 
3-7-67 



2-3-5-47 

17-S3 
2' -353 
3'-i57 
2.7. lOI 

5-283 

2'' •3-59 
13.109 
2.709 

3-11-43 

22.5.71 

72.29 
2-3'-79 

2 1.89' 
3-5 '-19 



22.3.7.17 

2-5-11-13 

3' -53 
23.179 

2-3-239 
5-7-41 
2 '-359 
3-479 
2-719 

2 '^'-3 '-5 

11-131 
2.7.103 

3-13-37 
22.192 

5-17' 
2-3-241 

23.1S1 

3'-7-23 

2.52.29 



1450 
1500 



2.52.29 
22.3.112 

2-727 
3-5-97 
2*. 7.13 

31-47 

2.3« 



2'-5-73 

3-4S7 
2-17-43 
7. II. 19 

23.3.61 
5-293 
2-733 
32.163 

22.367 
13-113 

2-3-5-7' 



2-23 

3-491 
2.11.67 

5' -59 
22.32.41 

7.211 

2-739 

3-17-29 

2'-5-37 



2-3-13-19 

2'-7-53 
3'-5-ii 
2-743 

2^-3-31 
2-5.149 

3-7-71 
2^-373 

2-3^-83"' 

5-13-23 
23.11.17 

3-499 
2-7-107 

2'^- 3-5' 



BROWN & SHARPE MFG. CO. 

Pfime Numbers and Factors, 1 500- J 800. 



From 
To 



o 

I 

2 
3 
4 
5 
6 

7 
8 

9 

lO 

II 
la 
13 
14 
15 
i6 

17 
i8 

19 

20 

21 
22 
23 
24 
35 
26 
27 
28 
29 
30 

31 
33 
33 
34 
35 
36 
37 
38 
39 
40 

41 
43 
43 
44 
45 
46 

47 
48 
49 
50 



50 
51 
53 
53 
54 
55 
56 
57 
58 
59 
60 

61 
6a 
63 
64 
65 
66 

67 
68 
69 
70 

71 

73 
73 
74 
75 
76 
77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
93 
93 
94 
95 
96 

97 

98 

99 

100 



1500 
1550 



19-79 
2-751 
32.167 
2 '.47 
5 •7-43 
2-3-2,Si 
"•137 
22.13.29 

3-503 
2-5-I5I 



23.33.7 

17-89 

2-757 

3-5-IOI 

2'-379 

37-41 

2-3-II-23 

7'-3i 
2-'-5-i9 

3'-i3^ 
2.761 

22.3.127 

52.61 

2-7-109 

3-509 

23-191 

11-139 
2-3'-5-i7 



2 '-383 

3-7-73 

2-13-59 

5-307 

2^-3 

29-53 
2-769 

3^-19 

22.5. 7.11 

23.67 
2-3-257 

23-193 
3-5-103 

2-773 

7. 13.17 

2'-3'-43 
2-5'-3i 



1550 
1600 



2-5--3I 
3-II-47 
2 J. 97 

2-3-7-37 

22.3S9 

3'-i73 
2-19-41 



2''-3-5-i3 

7-223 

2. II. 71 

3-521 
22.17.23 

5-313 
2.33.29 

2^.72 
3-523 

2-5-157 



2--3-I3I 
112.13 

2-787 

3'-5'-7 

2^-197 

19-83 
2.3.263 

2 = -5-79 

3-17-31 
2.7. 113 

2-1.32. II 

5-317 
2-13.61 

3-23' 

22.397 

7-227 
2-3-5-53 

37-43 
23.199 

3^-59 
2.797 

5-11-29 
22.3.7.19 

2.17.47 
3-13-41 



1600 
1650 



2-5^ 



2-32.89 

7-229 
22.401 
3-5-107 
2-11-73 



23.3-67 
2-5-7-23 

3'-i79 
2--I3-3I 



2-3.269 

5-17-19 
2^.101 
3.72.11 
2-809 

2^-3^-5' 



2-811 

3-541 
23.7.29 

2-3-271 

22.11-37 

32.181 

2-5-163 

7-233 
25-3-17 

23-71 
2-19-43 
3-5-109 
22.409 

2-3'-7-i3 
II. 149 

23.5.41 

3-547 
2-S21 

31-53 

2'-3-i37 

5-7-47 

2-823 

33.61 

2^-103 

17-97 



1650 
1700 



2-3-5--II 
13-127 
2 '-7-59 
3-19-29 

2-827 

5-331 
23.32.23 



2.829 
3-7-79 

2-5-83 

11.151 

2.3.277 



2'. 13 

3'-5-37 

2.72.17 

2'-3-i39 

2.5-167 

3-557 

23-11. 19 

7-239 
2.33.31 

52.67 

22.419 

3-13-43 
2-839 

23-73 

2-'-3-5-7 

412 
2-292 
32. II. 17 
22.421 

5-337 

2-3-2S1 

7-241 

23.211 

3-563 

2-5-13' 

19-89 

22.32.47 

2.7.II2 
3-5-113 

2° -53 
2-3-2S3' ■ 

2--5'-i7 



1700 
1750 



22.5-. 17 

3'-7 

2-23-37 

13-131 

23.3-71 

5-11-31 
2-853 
3-569 
22-7-61 

2-3'-5-i9 

29-59 

2-^-107 

3-571 
2-857 
5-7' 
22.3. II. 13 

17.101 

2-859 

32.191 

2'-5-43 



2-3-7-41 

22.431 

3-5'-23 
2-863 
II. 157 

26.33 

7-13-19 
2-5-173 

3-577 
2 '-433 

2.3.172 

5-347 
23.7.31 

3'-i93 
2-11-79 
37-47 
22.3.5.29 



2.13.67 

3-7-S3 
2 ■'•109 

5-349 
2.32.97 

22.19.23 

3- 1 1-53 

2-5'-7 



1750 
1800 



2 -5 '^-7 
17.103 

2 ■'•3- 73 

2'877'" 
3''-5-i3 
2 '-439 
7-251 
2-3-293 

2 '.5. II 

3-587 
2.S81 

41-43 
22.32.72 

5-353 
2-883 

3-19-31 

23.13.17 

29.61 
2-3-5-59 

7-11-23 
2'-443 
3'-i97 

2-887 

5'-7i 
2'-3-37 

2-7-127 

3-593 

22.5.89 

13-137 

2-3*. II 

23.223 

3-5-7-I7 
2-19-47 



2--3.149 
2-5-179 

3'-i99 

28.7 

II. 163 
2-3-13-23 
5-359 
22.449 

3-599 
2-29-31 

7-257 
2'-3'-5^ 



122 



BROWN & SHARPE MFG. CO. 



Prime Numbers and Factors, J800-2J00. 



From 
To 



1800 
1850 



1850 
1900 



1900 
1950 



1950 
3000 



2000 
2050 



2050 
2100 



o 
I 
2 
3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 
18 

19 
20 

21 
22 
33 
24 
35 
26 

27 
28 
29 
30 

31 
33 
33 
34 
35 
36 
37 
38 
39 
40 

41 
43 
43 
44 
45 
46 
47 
48 

49 
50 



50 
51 
53 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
73 
73 
74 
75 
76 

77 
78 

79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
93 
93 
94 
95 
96 

97 

98 

99 

100 



•3'-5' 



2-I7-53 
3-6oi 

2^-II-4I 

2-3-7'43 
13-139 

2-i-II3 

33.67 
2-5-i8i 



2-.3.151 

7^-37 
2-907 

3-5-ii^ 

2"*-227 

23-79 
2-3^-IOI 

17-107 
22.5.7.13 

3-607 

2-9II 

25.3-19 

5'-73 

2-11-83 

32.7.29 

2'-457 

31-59 

2.3.5.61 



2''. 229 

3-13-47 
2.7.131 

5-367 

2^-3^-17 

II-167 

2.919 

3-613 

2'-5-23 

7.263 

2-3-307 

19-97 

22.461 
3'-5-4i 
2-13-71 

2^.3. 7. II 

43' 

2-5'-37 



2-5'-37 

3.617 

22.463 

17.109 

2.32.103 

7-53 
'.29 
619 
929 
11-132 

2'-3-5-3i 



2-72-19 

3*-23 
23-233 

5-373 
2-3-311 

22.467 

3-7-S9 

2. 5. II. 17 



2I-32.13 

2-937 
3-5^ 

22.7.67 

2-3-313 

23.5.47 

32. II. 19 

2.941 

7-269 

2'-3-i57 

5-13-29 

2-23-41 

3-17-37 
25-59 

2-3'-5-7 

31.61 

22.11.43 

3-631 
2-947 
5-379 
23.3.79 

7.271 

2-13-73 

32.211 

22.52.19 



2^.5^.19 



2-3-5^-i3 



2-3-317 

11-173 
2^.7.17 

3-5-127 

2-953 

2--3'-53 

23-^3 

2-5-191 

3-7'-i3 

2 "^ ■2'?Q 

2. 3. II. 29 

5-383 

22.479 

33.71 

2.7.137 
19.101 

2'-3-5 

17. 113 

2-312 

3-641 

22.13.37 

52. 7. II 

2.32.107 

41.47 

23.241 

3-643 

2-5-193 



2-'-3-7-23 

2.967 
3'-5-43 

2*.Il2 

13-149 
2-3-17-19 

7-277 

2--5-97 

3-647 
2.971 
29.67 

23. -jS 

5-389 
2-7-139 

3-11-59 

22.487 



2^.61 

3'-7-3i 

2-977 

5-17-23 

22.3.163 

19.103 

2-11-89 

3-653 

33.5.72 

37-53 
2.32.109 

13-151 
22.491 

3-5-131 

2-983 

7.281 

2^-3-41 
11-179 

2-5-197 

3'-73 
22.17.29 

2-3-7-47 

5'-79 
23-13-19 

3-659 
2-23-43 

22. 32. 5. II 

7-283 
2-991 
3-661 
26.31 

5-397 
2-3-331 

22.7.71 
32.13.17 

2-5-199 

II. 181 
23.3.83 

2-997 

3-5-7-19 
22.499 

2.33.37 



'-5^ 

23-29 

7-11-13 

2.3.167 
401 

17-59 

2.223 
5.251 
2.41 
■3-5-67 



22.503 
3. II. 61 
2-19-53 

5-13-31 

25.32.7 

2.1009 

3-673 

22.5. lOI 

43-47 
2-3-337 

7.172 

23.11-23 

3*-5^ 
2-1013 



-3-13' 



2-5-7.29 

3-677 
2^-127 
19-107 
2.32. 113 

5-11-37 
22.509 

3-7-97 
2-1019 



2-3-5'-i3 



2*-5^ 



23.3.5.17 
13-157 

2.I02I 
32.227 
22.7.73 

5-409 

2. 3. 11-31 

23-89 

2^1 

3-683 

2-5'-4i 



2-5-41 

7-293 
22.33.19 

2.13.79 

3-5-137 
23.257 
112.17 
2.3.73 

29-71 
22.5.103 

32.229 
2-1031 

2*-3-43 

5-7-59 

2-1033 

3-13-53 
22.11.47 

2-3'-5-23 

19-109 
23.7.37 

3-691 
2-17-61 

5^-83 
2'-3-i73 
31-67 
2-1039 
33. 7. II 

2'-5-i3 



2-3-347 

22.521 

3-5-139 
2.7.149 

23.32.29 



2.5.11-19 

3-17-41 

2--523 

7-13-23 

2-3-349 

5-419 

2^-131 

3^-233 
2-1049 

2'-3-5'-7 



BROWN & SHARPE MFG. CO. 

Pfime Nombefs and Factors^ 2100-2400. 



From 
To 



o 

I 
z 

3 
4 
5 
6 

7 
8 

9 

lO 

II 

13 
13 
14 
15 
i6 

17 
i8 

19 
20 

31 
33 
23 
34 

as 

36 
37 
38 
39 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 
43 
43 
44 
45 
46 

47 
48 
49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
63 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 

79 
80 

81 

83 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 
97 
98 

99 
100 



3100 
3150 



II-IQI 
2-1051 

3-7o"i 

23-263 

5-421 

7 '-43 
2^.17.31 

3-I9-37 
2.5. 211 



2''-3-II 

2-7.151 

3'-5-47 

22.232 

29-73 

2-3-353 

13-163 

2'-5-53 

3.7. lOI 
2.io6i 

II. 193 

22.32.59 

5'-i7 
2.1063 

3-709 
2^-7-19 

2-3-5-71 



22.13.41 

3'-79 
2-11.97 
5-7.61 
23-3-89 

2-1069 

3-23-31 
22-5.107 



2.32.7.17 

2^.67 

3-5-11-13 
2-29-37 
19-113 
22-3-179 

7-307 

2-5'-43 



3150 
2200 



2-5'-43 
3'-239 
2^-269 

2-3-359 

5-431 
22.72. n 

3-719 

2-13-83 
17-127 

2^-3'-5 



2-23-47 
3-7-103 
22.541 

5-433 
2.3.192 

II. 197 
23.271 
32-241 
2-5-7-31 

13-167 
22.3.1S1 

41-53 
2.1087 

3-5'-29 
2'. 17 

7-3" 
2. 32-112 

22.5.109 

3-727 
2.1091 

37-59 
23.3.7-13 

5-19-23 
2.1093 

3^ 

2 '-547 
11-199 

2-3-5-73 

7-313 

2^.137 

3-17-43 
2-1097 

5-439 
22.32.61' 

2.7.151 

3-733 

23.52.H 



3300 
2250 



2^<-52-II 

31-71 
2-3-367 

22.19.29 

3'-5-7' 
2. 1 103 

25.3.23 

472 

2-5-13-17 

3.11.67 
22.7.79 

2.33-41 
5-443 

23-277 

3-739 
2- 1 109 

7-317 
2'-3-5-37 



2-II-IOI 

3'-i3-i9 
2^.139 

5 ''-89 

2-3-7-53 

17-131 

2'-557 

3-743 

2-5-223 

23-97 
23.32.31 

7-11-29 
2-1117 

3-5-H9 
22.13.43 



2-3-373 

26.5.7 

3^-83 
2.19.59 



2^^.3.11 

5-449 

2.1123 

3.7.107 

23.281 

13-173 

2-3"-5^ 



17 



2350 
2300 



2-3^-5^' 

2 "'-563 

3-751 

2.72-23 

5-II-4I 

2-'-3-47 

37-61 

2-1129 

3^-251 
22.5. 113 

7. 17.19 
2.3-13-29 

31-73 

23.283 

3-5-151 
2.11.103 

22.34.7 

2-5-227 

3-757 
25.71 

2-3-379 

5'-7-i3 

22.569 

32.11-23 

2-17-67 

43-53 
23.3.5.19 



2-7-163 
3-761 

22.571 

5-457 
2-32.127 



2*.II-I3 

3.7.109 

2.5.229 

29-79 
22.3-191 



2-31-37 
3'-5-i7 
23-7-41 



2-3-383 

H2.I9 

2^-5^-23 



2300 

2350 



2--5'-23 

3-13-59 

2- 1 15 I 

7'-57 

28,92 

5-461 

2-1153 

3-769 

2'-577 

2-3-5-7.11 



23-17^ 

3'-257 

2-13-89 

5-463 
22-3-193 

7-331 
2-19-61 

3-773 
2^-5-29 

II. 211 

2-3'-43 

23.101 

22.7.83 

3-5'-3i 
2.1163 

13-179 
23.3.97 

17-137 
2-5-233 

3'-7-37 
22.11.53 

2-3-389 

5-467 

25.73 

3-19-41 
2-7.167 



2350 
2400 

2-5'-47 

;^ :3.7V • 
13.181 

2-11-107 

3-5-157 
22.19.31 

2-32-131 

7-337 
2'-5-59 

3-787 
2-1181 

17-139 
22.3.197 

5-II-43 
2.7.132 

32.263 

26.37 

23-103 
2-3-5-79 



2 '-593 
3-7-113 
2-1187 

5'-i9 

23.33. u 

2.29-41 

3-13-61 

22.5.7.17 



2-3-397 

2^.149 
3--5-53 
2-1193 
7-11.31 
22.3.199 



2^-3^-5-13 



2-1171 

3-11-71 

23.293 

5-7-67 

2-3-17-23 



22.587 
3'-29 

2-5-47 



2-5-239 

3-797 
23.13.23 

2.32.7.19 

5-479 
22.599 

3-17-47 
2.1 1" 109 

2'-3-5^ 



134 BROWN & SHARPE MFG. CO. 

Prime Numbers and Factors, 2400-2700. 



From 
To 



2400 
2450 



2450 
2500 



2500 
2550 



2550 
2600 



2600 
2650 



2650 
2700 



o 

I 

2 
3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 
18 

19 
20 

21 
23 
23 
24 
25 
26 

27 
28 

29 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 
47 
48 
49 
^50_ 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
63 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 
97 
98 
99 
100 



2"-3-5' 

2-I20I 
33.89 

2--6oi 

5-I3-37 

2-3.401 

29.83 

2'-7-43 

3-II-73 

2.5.241 



22.32.67 
19.127 
2. 17.71 

3-5-7-23 
2^-151 



2-3-I3-3I 

41-59 
22.5. Il2 

32.269 

2-7-173 

28.3. lOI 

5 '-97 

2.1213 

3.809 

22.607 

7-347 

2 -3 '-5 

II. 13. 17 

2'. 19 

3-Sii 

2-I2I7 

5-487 

22.3.7.29 

2-23-53 

32.271 

23.5.61 



2-3- "-37 
7-349 

22.13.47 

3-5-163 
2.1223 

2^-3''-i7 ' 

31-79 

2.52.72 



2' Z '^ 

3- 19-43 
22.613 
11.223 
2.3.409 

5-491 
23.307 

3'-7-i3 
2.1229 

2^-3-5-41 

23.107 
2.1231 
3.821 

2-5. 7. II 

5-17-29 
2.32.137 



22.617 

3-823 

2-5-13-19 

7-353 
23.3.103 

2-1237 

3'-5'-ii 
22.619 

2-3-7-59 

37-67 

2^-5-31 

3-827 

2.17.73 

13-191 

22.33.23 

5-7-71 

2-11.113 

3.829 

23.311 

19.131 

2-3-5-83 

47-53 
22-7.89 

3'-277 
2-29.43 

5-499 
2^.3.13 

11.227 
2.1249 

3-7'-i7 
22.54 



22.54 

41.61 
2.32.139 

23.313 
3-5-167 

2-7-179 
23.109 
22.3.11.1C 
13-193 

2-5-251 

3*-3i 

2*-i57 

7-359 

2-3-419 

5-503 

22.17.37 

3-839 

2.1259 

11.229 

23.32.5.7 



2.13.97 

3.292 

22-631 

52.101 

2.3.421 

7.192 

2 '•79 

32-281 

2-5-11-23 



22. 3. 211 

17-149 
2.7. 181 

3-5-13' 
23.317 

43-59 

2-33-47 

22-5-127 

3.7.112 
2-31-41 

2^-3-53 
5-509 
2.19.67 
3 2. 2 S3 

22.72.13 

2-3-5'-i7 



2-3-5'-i7 



2<'.II.29 

3-23-37 

2.1277 

5-7-73 
22.32.71 



2-1279 
3-853 

2^-5 

13-197 
2.3.7.61 

11-233 
22.641 

3^-5-19 
2.12S3 

17-151 
23.3.107 

7-367 

2-5-257 

3-857 
22.643 

31-83 

2. 32. II. 13 

5'- 103 

24-7-23 

3-S59 
2-1289 

2 '-3-5-43 

29.89 
2.1291 

3'-7-4i 
23.17-19 

5-11-47 
2-3-431 
13-199 

22.647 

3-863 

2-5-7-37 



25.34 

2-1297 

3-5-173 
22.11.59 

7 '-53 
2-3-433 

23-113 

23.52.13. 



23.5^.13 
32.172 

2-1301 

19-137 

2'-3-7-3i 

5-521 

2-1303 

3-11-79 

2'i-i63 

2-32-5-29 

7-373 
22.653 

3-13-67 

2-1307 

5-523 

23.3.109 

2-7-11-17 

3'-97 
22-5. 131 • 



2-3-19-23 
43.61 

2«.4I 

3-5'-7 
2.13.101 

37-71 

22.32.73 

11-239 
2-5-263 

3-877 
23.7.47 

2-3-439 

5-17-31 

22.659 

32.293 

2-1319 I 

7.13-29 

24-3-5-11 

19-139 
2-1321 

3-881 
22-661 

5-23' 

2.33.72 

2^-331 

3-S83 
2 -5 '-53 



2-5'-53 

11-241 

22-3-13.17 

7-379 
2-1327 

3'-5-59 

25-83 

2-3-443 
22.5.7.19 

3-S87 

2-Il3 

23.32.37 

5-13-41 
2-31-43 
3-7-127 

22.23-29 

17-157 
2-3-5-89 



24.167 

35.11 

2.7.I9I 

52.107 

22.3.223 

2-13-103 
3-19-47 

23.5.67 

7-3S3 
2.32.149 

22. II. 61 

3-5-179 
2-17-79 

27.3.7 
2.5.269 

3'-i3-23 
22.673 

2-3-449 
5-72-11 

2^-337 
3-29-31 
2. 19.71 

2^-3^-5'' 



BROWN & SIIARPE MFG. CO. 

Prime Nambers and Factors, 2700-3000. 



From 
To 



o 

I 

2 
3 
4 
5 
6 

7 
8 

9 

lO 

II 

13 
13 
14 
15 
i6 

17 
i8 

19 
ao 

31 

22 
23 
24 
25 
26 
27 
28 

29 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 

42 
43 
44 
45 
46 
47 
48 

49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 
77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 
89 
90 

91 
92 
93 
94 
95 
96 
97 
98 
99 
100 



2700 
2750 



37-73 
2-7.193 

3- 17-53 
21.13^ 

5-541 
2.3-II-4I 

22.677 

3-'-7-43 

2.5.271 



2^.3.113 

2-23-59 
3-5-1^1 
2'-7-97 
1 1-13.19 
2.32^151 

25.5.17 

3-907 
2.1361 

7-389 

22.3.227 

52.109 

2.29.47 

3'*.ioi 

23.11. 31 

2-3-5-7-I3 



22.683 

3-911 
2.1367 

5-547 
2^.32.1^ 

7.17.23 

2-37' 
3.11-83 

2'-5-i37 



2-3-457 
13-211 

2 '^ • 7 ^ 

3'-5-6i 

2-1373 

41-67 

22.3-229 

2-5' -I I 



2750 
2800 



2-5 -II 
3-7-131 
2 '-43 

2-3:- 1 7 
5-19-29 

2'-i3-53 
3-919 
2-7-197 
3 1 -89 
2 ''-3-5-23 

1 1 -25 1 
2-1381 

3 '-307 
22.691 

5-7-79 
2.3.461 

2^.173 
3-13-71 

2-5-277 

17.163 

22.32. 7. II 

47-59 

2-19-73 

3-5'-37 

2 '-347 



2-3-463 

7-397 

2'-5-i39 

33.103 
2. 13. 107 
112.23 
25.3.29 

5-557 

2-7-199 

3-929 

22-17-41 

2-3'-5-3i 



2 3-349 
3.72.19 
2.11.127 
5-13-43 

3-1399 
3^-311 

2-*-5"-7 



2800 
2850 



2^-5-7 
2.3.467 



2-.701 

3-5-11-17 
2.23.61 
7.401 
2 ■■'.33. 13 

53' 

2.5.281 

3-937 
22-19.37, 

29-97 
3-7-67 
563 



-313 
1409 



2--3-5-47 

7-13-31 

2-17-83 

3-941 

^■"•353 

5'-ii3 

2-3'-i57 

11-257 

22-7-101 

3-23-41 

2-5-283 

19-149 
2^-3-59 

2-13-109 

3'-5-7 
22.709 



2-3-11-43 
17-167 

23-5-71 

3-947 
2-72.29 



2.32.79 

•569 

■1423 

■13-73 

5-89 

•11-37 

■3-5 '-19 



2850 
2900 



2-3-5--I9 

2--23-3I 

3'-3i7 
2-1427 

5-571 

23.3.7.17 

2-1429 

3-953 
22-5-11-13 



2 -3 '-53 

7-409 

2^-179 

3-5-191 

2-1433 

47-6i 

22.3.239 

19-151 

2-5-7-41 

32.11-29 

2'-359 
132.17 

2-3-479 

5'-23 

22.719 

3-7-137 
2-1439 

26:32.5 ■■ 

43-67 
2.11.131 

3-31' 
22.7.103 

5-577 
2-3-13-37 



23.19^ 
33.107 

2.5.172 

7'-59 
22.3.241 
11.263 
2.1447 

3-5-193 

2^.181 

2.32.7.23 

13-223 
22.52.29 



2900 
2950 



22-5-29 

3-967 
2-1451 

23-3-112 

5-7-S3 

2-1453 
32-17.19 

22-727 

2-3-5-97 

41-71 

25.7.13 

3-971 
2-31-47 

5-11-53 

22.36 

2-1459 
3-7-139 

2=^-5-73 

23.127 

2.3.487 

37-79 

2 '-17-43 

3'-5'-i3 

2.7-11.19 

2^:3.61' ■■ 

29.101 

2-5-293 

3-977 
2'-733 
7-419 
2.32.163 

5-5S7 
23.367 

3-11-89 
2.13.113 

2'-3-5-7'' 

17-173 
2-1471 
33.109 

2''. 23 

5-19-31 

2-3-491 

7-421 

22.11.67 

3-9S3 

2 -5 -59 



2950 
3000 



2-5'-59 

13-227 

23.32.^1 

2.7-211 
3-5-197 
2 '--739 

2-3.17-29 
1 1-269 

2'-5-37 

3'-7-47 
2-1481 

22.3.13-19 

5-593 
2-1483 

3-23-43 

2'-7-53 

2-33-5-11 



2--743 

3-991 

2-1487 

5'-7-i7 
25.3.31 

13-229 

2-1489 

3'-33i 
22-5-149 

11-271 

2-3-7-71 

19-157 

2'-373 

3-5-199 

2-1493 

29-103 

2 2. 3 2. S3 

72-61 

2-5-13-23 

3-997 
2 ' - 1 1 - 1 7 

41-73 
2-3-499 

5-599 
22.7-107 

3*-37 
2-1499 



■3-5' 



126 BROWN & SHARPE MFG. CO. 

Prime Numbers and Factors, 3000-3300. 



From 
To 



3000 
3050 



3050 
3100 



3100 
3150 



3150 
3200 



3200 
3250 



3250 
3300 



o 

I 

2 
3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 
18 

19 
20 

21 
22 
23 
24 
25 
26 

27 

28 

29 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 

47 
48 
49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 
98 

99 
100 



■3-5' 



2-19.79 
3.7.11.13 

22.751 

5.601 

2.32.167 

31-97 

26.47 

3-I7-59 
2-5-7-43 



2^.3.251 

23-131 
2.11.137 

3'-5-67 
23.13-29 

7-431 
2-3-503 

2^-5-151 

3-19-53 
2.1511 

24.33.7 
52.112 

2.17.89 

3-1009 

2'-757 

13-233 

2.3-5.101 

7-433 
23-379 

3'-337 
2.37.41 
5.607 
22.3. II. 23 

2.72.31 

3-1013 
25.5.19 



2-3^-13 

17-179 

22.761 

3-5-7-29 

2-1523 

11.277 

23.3.127 

2-52.61 



2-52-61 

3'-"3 
22.7.109 

43-71 

2-3-509 

5-13-47 

2^.191 

3.1019 

2. II. 139 

7.19.23 

22.32.5.17 



2-1531 

3-1021 

23.383 

5-613 

2-3-7-73 

22.13.59 

3'-"-3i 
2-5-307 

37-83 

2^°-3 

7-439 

2-29-53 

3-5'-4i 

22.769 

17. 181 

2-34.19 

23.5-7-11 

3-13-79 

2-23-67 

22.3.257 
5-617 

2-1543 
32.73 

24-193 
2-3-5-103 

11-281 

2'-773 

3- 103 1 

2-7-13-17 

5-619 

23.32.43 

19-163 

2-1549 
3-1033 

2'-5'-3i 



2^.5^-31 

7-443 
2-3-II-47 
29-107 
25.97 

3'-5-23 

2-1553 

13-239 
22.3.7.37 

2-5-3" 

3. 17-61 

23-389 

11-283 

2-32.173 

5.7-89 

22.19.41 

3-1039 

2-1559 

2*-3-5-i3 



2-7-223 

3'-347 
22.11-71 

5^ 
2-3-521 

53-59 

23.17.23 

3.7.149 

2-5-313 

31-101 

22.33.29 

13-241 

2-1567 

3-5-11.19 

26.72 



2-3-523 
43-73 

2^-5-157 



2.32.52.7 

23-137 

2^.197 

3- 105 1 
2-19-83 

5-631 
22.3-263 
7-11-41 
2-1579 

3^-13 

23.5.79 

29-109 
2-3-17-31 

22-7-113 

3-5-2II 

2-1583 

25.32.11 

2-5-317 

3-7-151 
22.13-61 
19.167 
2.3.232 

52.127 
23.397 

3'-353 

2-7.227 
11.172 

2'-3-5-53 



2-37-43 

3.1061 

2^.199 

5-7'-i3 

2-3'-59 



22.797 
3.1063 
2.5.11.29 



3 '-349 

2-1571 


23.3.7.19 


7-449 


31-103 


23.3.131 


2-1597 


5-17-37 


3'-5-7i 


2. 112.13 


22-17.47 


3.1049 


23-139 


22.787 


2-3-13-41 


47-67 


7-457 


2.32.52.7 


2^-52 



2^-52 

3-11-97 

2-1601 



22.3^-«9 

5-641 

2-7-229 

3-1069 

23.401 

2-3-5-107 

132-19 

22.11.73 
33.7.17 

2.1607 

5-643 
24.3-67 

2-1609 

3-29-37 

22.5.7.23 



2-3-179 

11-293 

28.13.31 

3-5'-43 
2.1613 
7.461 
22.3-269 

2.5.17.19 
3' -359 

2 5.IOI 

53-61 

2. 3. 72. II 

5-647 
22.809 

3-13-83 
2.1619 
41.79 

2«-3*-5 

7-463 
2.1621 

3-23-47 
22.811 

5-II-59 

2-3-541 

17.191 

24.7-29 

32.192 

2-5' -13 



2-5'-i3 
22.3-271 



2-1627 

3-5-7-31 
23-11-37 

2-32.181 

22.5.163 

3.1087 
2-7-233 
13-251 
26.3.17 

5-653 
2-23-71 
33.112 
22.19.43 

7-467 
2-3-5-109 



23-409 
3-1091 
2-1637 

5^-131 

22.32.7 

29-113 
2-11-149 
3-1093 
24-5.41 



13 



17-193 

2-3-547 

72.67 

22.821 

3'-5-73 

2-31-53 

19-173 
23.3.137 

11.13-23 

2-5.7.47 

3.1097 

22.823 

37-89 
2.33.61 

5-659 
25.103 

3-7-157 
2-17-97 

2^-3-5^-1 



BROWN & SHARPE MFG. CO. 

Prime Nwrnbers and Factors, 3300-3600. 



127 



From 
To 



3300 
3350 



3350 
3400 



3400 
3450 



3450 
3500 



3500 
3550 



3550 
3600 



o 

I 
a 
3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 
18 

19 
20 

ai 
22 
23 
24 

26 

27 
28 

29 
30 

31 
32 

33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 
47 
48 
49 
30_ 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 
79 
80 

81 
82 
83 
84 
85 
86 
87 
88 

89 
90 

91 
92 

93 
94 
95 
96 

97 
98 

99 
100 



22.3.52.11 

2-13.127 

32.367 

23.7.59 

5.661 

2.3.19.29 

22.S27 
3-"03 
2-5-33I 

7.11.43 

2 -4.32. 23 

2.1657 

3-5-I3-I7 
22.829 
31.107 
2.3.7.79 

2^-5-S3 '" 

3*-4i 
2. II. 151 



22.3.277 

52.7.19 

2.1663 

3-1109 

28.13 

2-3'-5-37 



22.72.17 
3-11-101 
2-1667 

5-23-29 
23.3.139 
47.71 
2-1669 

3'-7-53 
22.5.167 

13-257 

2-3-557 

2*.II.I9 

3-5-223 
2-7.239 

22.33.31 
17-197 

2-s^-67 



2-52.67 
3- 1 1 17 
23.419 

7-479 
2-3-13-43 
5-11-61 
22.839 

3'-373 

2-23-73 

2 = -3-5-7 



2-412 

3-19-59 

22.292 

5-673 
2-32. II. 17 

7-13-37 
23.421 
3-1123 
2-5-337 



22.3.281 



2-7-241 
3'-5' 

2^-211 
11.307 

2-3-563 
31-109 

22.5.132 

3-7'-23 
2-19-89 
17-199 
23.32.47 

5-677 
2-1693 
3-1129 
22.7.112 

2-3-5-113 



2''-53 

32.13.29 

2-1697 

5-7-97 
22.3.283 

43-79 
2.1699 
3. II. 103 

23.52.17 



23.5-. 17 

19.179 

2.35.7 

41.83 

22.23.37 

3-5-227 
2. 13. 131 

24.3.71 
7.487 
2.5. 11.31 

3^-379 

2^-853 

2-3-569 

5-683 

23.7.61 

3.17.67 

2.1709 

13-263 

2'-3'-5' 



19 



II. 311 

2-29-59 

3-7-163 

2-5.107 

5'-i37 

2-3-571 

23-149 

22.857 

33.127 

2.5.73 

47-73 

23. 3.11. 13 

2.I7.IOI 

3-5-229 
22.859 
7.491 

2.32-191 

I9-I8I 

2*-5-43 

3-31-37 
2-1721 
11.313 
22.3.7.41 

5-13-53 

2.1723 

3^-383 
23.431 



2-3-5--23 
7-17-29 

22.863 

3-1151 
2.11.157 
5-691 
27.33 

2-7.13.19 
3- 1 153 
2'-5-i73 



2-3-577 

2 '-433 

3'-5-7-ii 

2-1733 



22.3.172 

2-5-347 

3-13-89 
24.7.31 

23-151 
2.32.193 

5^-139 
22.11.79 

3-19-61 

2-37-47 
72.71 

23.3.5.29 

59^ 
2-1741 
3*-43 
22.13.67 

5-17-41 
2-3-7-83 
11-317 
2^.109 

3-1163 
2-5-349 



22.32.97 

7-499 
2-1747 
3-5-233 
23.19.23 

13-269 
2-3-1I-53 



22.53.7 

3^-389 
2-17-103 

31-113 

2'-3-73 

5-701 

2-1753 

3-7-167 

22.877 

112.29 

2-3^-5-13 



23.439 
3-1171 
2-7.251 

5-19-37 
22.3.293 



2-1759 
3^-17-23 

26.5.11 

7-503 

2-3-587 

13-271 

22.881 

3-5'-47 
2-41-43 

23.32.72 

2-5-353 

3. 1 1' 107 

22.883 

2.3. 19.31 

5-7-101 
24.13.17 

3^-131 
2.29.61 

2^-3-5-59 



2-3-5^-23 



-5'-7 



2-7-11-23 
3.1181 
2* -443 
5-709 
2.32.197 

22.887 
3-7-13' 
2-5-71 



2-5'-7i 
53-67 
2^-3-37 
11-17-19 

2-1777 

3'-5-79 
22.7.127 

2-3-593 



3-1187 

2-13-137 

7-509 
22.34.11 

5-23-31 
2-1783 

3-29-41 

24.223 

43-83 
2-3-5-7-17 



22.19.47 

3' -397 

2.1787 

5'-ii-i3 
23.3.149 

7'-73 
2-1789 

3-1193 
22.5.179 



2.32.199 

29.7 

3-5-239 

2.11.163 

17.211 

2^-3-13-23 

37-97 

2-5-359 

33.7.19 
23.449 

2-3-599 
5-719 
22.29.31 
3.11.109 

2-7-257 

59-61 

2^-3'-5' 



128 BROWN & SHARPE MFG. CO. 

Prime Numbers and Factors, 3600-3900, 



From 
To 



3600 
3650 



3650 
3700 



3700 
3750 



3750 
3800 



3800 
3850 



3850 
3900 



o 

I 

3 
4 
5 
6 

7 
8 

9 
10 

II 
13 
13 
14 
15 
16 

17 
18 

19 
30 

31 
33 
23 
34 
25 
36 
37 
s8 
39 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 
43 
43 
44 
45 
46 
47 
48 
49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
63 
63 
64 
65 
66 
67 
68 
69 
70 

71 

72 

73 
74 
75 
76 

77 
78 

79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 
98 

99 
100 



13.277 
2-1801 
3-1201 

2'-i7-53 

5-7-I03 

2-3-601 

23.11.41 

32.401 

2-5-192 

23-157 
2'-3-7-43 

2-13-139 
3-5-24I 

25-113 

2-33.67 
7-11-47 
22.5. 181 

3.17.71 
2-1811 



2<'.3-i5i 
53.29 

2.72.37 

3^-i3-3i 
22-907 
19- 191 
2-3-5-112 



2*-277 

3-7-I73 
2-23-79 

5-727 
22.32.101 

2. 17. 107 

3-1213 

23.5.7.13 

11-331 
2.3-607 

22.911 

3'-5 

2-1823 

7-521 

2^-3-19 

41-89 

2-5'-73 



2-5'-73 

3-1217 

22.11.83 

13-281 

2-32.7.29 

5-17-43 
2 '-457 
3-23-53 
2-31-59 

22.3.5.61 

7-523 
2-1831 

3'-"-37 

2^-229 

5-733 
2-3-13-47 

19-193 

22-7-131 

3-1223 
2-5-367 



.33.17 



2-11-167 

3-5'-7' 
22.919 



2.3.613 
13-283 

2'-5-23 

3^-409 
2.7.263 

29.127 

22-3-307 
5-11-67 
2-19-97 
3-1229 

23.461 

7-I7-3I 

2-3'-5-4i 



22.13-71 

3-1231 

2-1847 

5-739 
2*-3-7-ii 

2-432 

3' -137 

2 ■•5^-37 



22.5-.37 

2-3-617 

7.232 

23.463 

3-5-13-19 
2-17-109 

11-337 
22.32.103 

2-5-7-53 

3-1237 
2^-29 

47-79 
2-3-619 

5-743 
22.929 

3'-7-59 
2-11-132 



2'-3-5-3i 

6i2 
2-1861 

3-17-73 
22.72-19 

5'- 149 
2-3^-23 



2*-233 

3-"-"3 
2-5-373 

7-13-41 
22.3-311 



3-5-83 
23.467 
37-101 
2-3-7-89 

22.5-11.17 

3-29-43 

2.1871 
19-197 

25-32.13 

5-7-107 
2.1873 

3-1249 
22.937 

23-163 

2-3-5^ 



2-3-5* 
112.31 

23-7-67 

3'-i39 

2-1877 

5-751 

2'-3-3i3 
13-172 

2-1879 

3-7.179 

2-^-5-47 



2-32.11-19 

53-71 
22-941 

3-5-251 
2-7-269 

2'-3-i57 
2-5-13-29 



3^-419 

22.23-41 

73-11 

2-3-17-37 

5'-i5i 

2«-59 

3-1259 
2-1889 

22.33.5.7 

19-199 
2-31-61 

3-13-97 
23-11-43 

5-757 
2-3-631 

7-541 
22.947 

32.421 
2-5-379 

17-223 
2^-3-79 

2-7-271 

3-5-11-23 
22-13.73 

2-32-211 
29-131 

2^-5^-19' 



2^-52. ig 

3-7- 181 
2-1901 

22.3.317 

5-761 

2.11.173 

3-' -47 
2^.7-17 

13-293 
2-3-5-127 

37-103 
2 --953 
3-31-41 
2-1907 
5-7-109 
2 •'•3' -53 
11-347 
2-23-83 

3-19-67 
22.5.191 



2.3.72.13 

2*. 239 

3'-5'-i7 

2-1913 

43-89 
22.3-11-29 

7-547 
2-5-383 



1277 
-479 



2-3-71 

5-13-59 

22.7.137 

3-1279 
2.19.101 

11-349 

2*-3-5 

23-167 
2-17-113 
32-7-61 
22.312 

5-769 
2-3-641 

23.13.37 

3-1283 

2-52.7.11 



2-52.7.11 
22.32.107 

2-41-47 
3-5-257 
2^.241 
7.19.29 

2-3-643 

17.227 
22.5.193 

33.11.13 
2-1931 

23-3.7.23 

5-773 

2-1933 

3-1289 

22-967 

53-73 

2-3'-5-43 

72-79 

2^-112 

3-1291 

2-13-149 

5'-3i 
22.3.17.19 

2-7-277 

3'-43i 

2=^-5-97 



2-3-647 

11-353 
22.971 

3-5-7-37 

2.29.67 

132.23 

24. 3O 

2-5-389 

3-1297 
22.7-139 

17-229 

2-3-II-59 
5-19-41 

23-487 

3'-433 
2-1949 

7-557 

2 2-3-51:13 



BROWN & SIIARPE MFG. CO. 

Prime Numbers and Factors, 3900-4200. 



129 



From 
To 



3900 
3950 



o 
I 
2 
3 
4 
5 
6 

7 
8 

9 
10 

II 
13 
13 
14 
15 
16 

17 

18 

19 
30 

ai 

23 
23 
24 
35 
36 
27 
28 
29 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 
43 
43 
44 
45 
46 
47 
48 
49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
63 
63 
64 
65 
66 
67 
68 
69 
70 

71 
73 
73 
74 
75 
76 

77 
78 
79 
80 

81 
83 
83 
84 

85 
86 
87 
88 

89 
90 

91 
93 
93 
94 
95 
96 

97 

98 

99 

100 



2^.3.5". 13 

47-83 
2-1951 

3-1301 

2'5-6l 

5-II-7I 
2-3'-7-3i 

22.977 

3-1303 
2.5.17-23 



23.3.163 

7-13-43 
2. 19- 103 

3*-5-29 
22-11-89 



2-3-653 

2^.5-72 

3-1307 
2-37-53 

2-. 32. 109 

5'-i57 

2-13-151 

3-7-II-I7 

2^.491 

2-3-5-131 

2 --983 

32.19-23 

2-7-281 

5-787 

2^-3-41 

31-127 

2- 1 1- 179 

3-13-101 

22-5.197 

7-563 
2-3'-73 

23.17.29 

3-5-263 

2.1973 

22.3.7.47 

"•359 
2-5^-79 



3950 
4000 



2-5'-79 
3 '-439 
2^-13-19 

59-67 
2-3-659 
5-7-113 
22.23.43 

3-1319 
2-1979 
37-107 
2'-3'-5-i 

17-233 

2-7-283 

3-1321 
22.991 

5-13-61 
2.3.661 



2'-3i 
3^-7' 
2-5-397 

11-192 

2'-3-33i 

29-137 

2-1987 

3-5 '-53 

23.7.71 

41-97 
2.32. 13.17 

23-173 
22.5.199 

3-1327 

2.II-l8l 

7-569 

2^-3-83 

5-797 

2-1993 

3 '-443 
22-997 



2-3-5-7-19 

13-307 
2 3-499 

3-11"* 
2.1997 

5-17-47 
22.33.37 

7-571 
2.1999 

3-31-43 

2 -5 -5 3 



4000 
4050 



2'^-5' 



2-3.23-29 

2^-7-11-13 

3'-5-89 

2.2003 



23.3.167 

19-211 

2.5.401 

3-7-191 
22.17-59 

2-32.223 
5-11-73 

2-i.25I 

3-13-103 

2-72-41 

22.3.5.67 



2-20II 

3'-i49 
23.503 

5'-7-23 
2. 3. II. 61 

22.19.53 

3-17-79 

2-5-13-31 

29.139 

2«.32.7 

37-109 

2.2017 

3-5-269 

22.1009 

11.367 

2-3-673 

7-577 

23.5. lOI 

3^-449 
2-43-47 
13.311 

2'-3-337 
5.809 
2.7.172 
3. 19.71 
2*. II. 23 



2-3^-5'^ 



4050 
4100 



2-3*-5' 



22.1013 

3-7-193 
2.2027 

5-81 1 
23.3.132 



2.2029 
32. II. 41 

22.5.7.29 

31-131 

2-3-677 

17-239 

25.127 

3-5-271 
2. 19. 107 
72.83 
22.3^.113 

13-313 
2-5-11-37 

3-23-59 
23.509 

2-3-7-97 

5'-i63 

22.1019 

3'-i5i 
2.2039 



2^-3-5-17 

7-11-53 
2-13-157 
3-1361 
22.1021 

5-19-43 

2.33.227 
61-67 

23.7.73 

3-29-47 
2-5-409 



22.3-11.31 

2.23.89 

3^-5-7-13 

21 2 

17.241 
2.3.683 



•5"-4i 



4100 
4150 



2 2. 5 -.41 

3-1367 
2-7-293 

11-373 

2 '-3^-19 

5-821 

2-2053 

3-37' 

2'-i3-79 

7-587 

2-3-5-137 



2*. 257 

3 '-457 
2-112.17 

5-823 
22.3.73 

23-179 
2-29-71 

3-1373 
23.5.103 

13-317 
2-32-229 

7-19-31 
22.1031 

3-5'-ii 
2.2063 

2 '-3-43 



2-5-7-59 



•17 
■1033 



2-3-13-53 

5-827 
23.11.47 

3-7-197 
2-2069 

2'-3'-5-23 

41-101 

2-19-109 

3-1381 

2*-7-37 
5.829 

2-3-691 

11-13-29 
22.17-61 
32.461 

2 -5 '-83 



4150 
4200 



2-5'-83 

7-593 
23.3.173 



2.3] 


•67 


3-5- 


277 


22. 


039 


2-3 


-7-11 



2"-5-i3 
3-19-73 

2-2o8l 
23-181 

2'-3-347 

5.72.17 

2-20S3 

3' -463 

23.521 

11-379 
2-3-5-139 

43-97 
22.7.149 

3. 13. 107 

2.2087 
52.167 
2^.32.29 

2-20S9 

3-7-199 
22. 5. II. 19 

37-113 
2-3-17-41 
47-89 
23.523 

3'-5-3i 

2-7-13-23 

53-79 

2'-3-349 

59-71 

2.5.419 

3-11-127 
25.131 

7-599 
2-3'-233 
5-839 
22.1049 

3-1399 
2.2099 

13-17-19 

23.3.52.7 



130 BROWN & SHARPE MFG. CO.' 

Prime Numbefs and Factors, 4200-4500. 



From 
To 



4200 
4350 



4350 
4300 



4300 
4350 



4350 
4400 



4400 
4450 



4450 
4500 



o 

I 

2 
3 
4 
5 
6 

7 
8 

9 
10 

II 

13 
13 
14 
15 
16 

17 

18 

19 

ao 

ai 
22 
33 
24 
35 
26 

37 
28 
29 
30 

31 
33 

33 
34 
35 
36 
37 
38 
39 
40 

41 
43 
43 
44 
45 
46 
47 
48 

49 
50 



50 
51 
53 
53 
54 
55 
56 
57 
58 
59 
60 

61 
63 
63 
64 
65 
66 
67 
68 
69 
70 

71 

73 
73 
74 
75 
76 

77 
78 

79 
80 

81 
82 
83 
84 
85 
86 

87 
88 
89 
90 

91 
93 
93 
94 
95 
96 

97 

98 

99 

100 



2-II-I9I 

3 '-467 

22.1051 

5.292 

2.3-701 

7.601 

2*-263 

3.23-61 
2.5-421 



22.31.I3 
"•383 

2-7'-43 
3-5-28I 
2^.17.31 

2-3-I9-37 

22. 5. 211 



32.7.67 

2-2111 
41-103 
2'. 3-11 

5^-13' 
2-2II3 
3.1409 
22.7.151 

2;3'-5-47 



3-I7-83 
2-29-73 
5.7-112 

2 '•3-353 

19.223 

2-13-163 

3'-i57 

2*-5-53 



2.3.7.IOI 

22.1061 
3-5-283 
2.11-193 

31-137 
23.32.59 

7.607 

2-5^-i7 



2.53.17 
3.13-109 
2 2 . 1063 

2-3-709 

5-23-37 
25.7.19 

3'-"-43 
2-2129 

22.3.5.71 



2-2131 

3.72.29 

23.13.41 

5-853 
2-3'-79 
17.251 
22.11.97 

3-1423 
2.5-7.61 



2^.3.89 

2.2137 



3'-5^-i9 
22.1069 

7-13-47 
2-3-23-31 
11.389 
23.5.107 

3-H27 
2.2141 

22.32.7.17 

5-857 
2-2143 

3-1429 
2«.67 



2'-5'-43 
11.17.23 
2.32.239 

13-331 
2^.269 

3-5-7-41 

2-2153 

59-73 

2'-3-359 

31-139 

2-5-431 

3^-479 

23.72.11 

19-227 
2.3.719 
5-863 
22.13.83 

3-1439 
2-17.127 
7-617 
25.33,5 

29.149 
2-2161 
3.11.131 

22.23.47 

5'-i73 
2.3.7.103 

23.541 

3'-i3-37 

2-5-433 

61.71 
2^"3-i9^ 
7-619 
2-11-197 

3-5-17' 
2^.271 

2-32.241 



2-3-5-"-i3 

7-613 
22.29.37 

3 '-53 
2-19-113 

5-859 
23.3-179 

2.7-307 

3-H33 

22.52.43 



22.5.7.31 

3-H47 

2.13-167 

43-101 

23-3-181 

5.11.79 

2-41-53 
33.7.23 

22.1087 
2-3-5'-29 



2.3.5^.29 
19-229 

28.17 

3-1451 
2.7.311 

5-13-67 

22.32.112 

2.2179 

3-1453 
23.5.109 

72.89 
2-3-727 

22.1091 

3'-5-97 

2-37-59 

11-397 

2^.3.7.13 

17-257 
2-5.19-23 

3-31-47 
22.1093 



2.37 

5^-7 

2^-547 

3-1459 

2.11.199 

29.151 

2--3-5-73 

13-337 

2-7-313 

3^-487 
25.137 

5-877 

2-3-17-43 

41.107 

22.1097 

3-7-11.19 

2-5-439 



23.32.61 

23.191 

2.133 

3-5-293 

22.7.151 



2^.52.11 

33.163 

2-31-71 

7-17-37 

22.3.367 

5-8S1 

2.2203 

3-13-113 
23.^9.29 

2.32.5.72 

11.401 
22.1103 

3-1471 
2-2207 

5-SS3 
26.3-23 
7.631 
2.472 

3'-49i 
22.5.13.17 



2.3.11-67 



23.7.79 

3-5'-59 
2.2213 

19-233 

22.33.41 

43-103 
2-5-443 

3.7.211 

2-1.277 

11-13-31 

2-3-739 

5.887 

22.1109 

32.17.29 

2.7.317 

23-193 

2'-3-5-37 



2.2221 
3-1481 
22.11.101 

5-7-127 
2.32. 13. 19 



2-3-733 

53-S3 

2''-52.ir 



2-. 139 

3-1483 
2-5'-89 



2.52.S9 

2'-3-7-53 
61.73 

2-17-131 
3*-5-ii 

2^-557 

2-3-743 
7^-13 

22.5.223 

3-1487 
2-23-97 

24.32.31 

5-19-47 

2.7-11-29 

3.1489 

22.1117 

41.109 

2-3-5-149 

17-263 
23.13.43 

32.7.71 

2-2237 
5'-i79 

2'-3-373 
112.37 

2.2239 
3-1493 

2'-5-7 



2.33.83 

2'- 19-59 

3-5-13-23 

2-2243 

7.641 

23.3-11.17 

672 

2-5-449 

3 '-499 
22.1123 

2-3-7-107 

5-29-31 

24.281 

3-1499 

2-13.173 

11.409 

2'-3'-5^ 



BROWN cS: SHARPE MFG. CO. 

Pfime Nambefs and Factors, 4500-4800. 



131 



From 
To 



o 

I 
a 
3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 

18 

19 
20 

21 
22 
23 
24 
25 
26 

27 
28 

29 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 

47 
48 

49 
50 



4500 
4550 



4550 
4600 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 

79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 

93 
94 
95 
96 

97 

98 

99 

100 



7-643 
2-2251 
3.19.79 
2^.563 

5-i'7-53 
2-375I 

22.72.23 

33.167 

2.5.11.41 

13-347 
2^-3-47 

2.37-61 

3-5-7-43 
22.1129 

2-3'-25i 

23.5.113 

3-II-I37 
2.7.17.19 

22.3.13.29 

52.181 

2-31-73 

3 '-503 

2^.283 

7.647 

2-3-5-I5I 

23.197 
2 2. 1 1. 103 

3-1511 
2.2267 

5-907 

23.3-1.7 

13-349 
2-2269 
3.17.89 

22.5.227 

19-239 

2-3-757 
7.11.59 

2''.7l 

3'-5-ioi 
2.2273 



22.3.379 
2-5^-7-i3 



2-5'--7-i3 

3-37-41 

23.569 

29-157 
2.32. II. 23 

5-91 1 
22.17.67 

3-7'-3i 
2-43-53 
47-97 
2^.3.5.19 



2.22S1 
33.132 

22.7.163 

5- "-S3 
2.3.761 

23.571 
3-1523 
2-5-457 

7-653 

22.32.127 

17.269 
2-2287 
3-5'-6i 

25-11. 13 
23.199 
2-3-7-109 
19.241 

22.5.229 

3^-509 
2.29.79 

23.3. 191 

5-7-131 
2.2293 

3-II-I39 

2'-3i-37 

13-353 
2.33.5.17 



2^.7.41 

3-1531 
2-2297 

5-919 
22-3-383 



4600 
4650 



2-II'^.I9 

3'-7-73 

2'-5'-23 



2''. 5-=. 23 

43-107 
2-3-13-59 

22.II5I 

3-5-307 
2.72.47 

17.271 

2^.32 

II.4I9 
2.5.461 

3-29-53 

2'-ii53 

7-659 

2.3.769 

5-13-71 

23.577 

3=". 19 
2-2309 

31-149 
22.3.5.7.1 



2-2311 

3-23-67 

2-1.172 

5'-37 

2.32.257 

7.661 

22.13.89 

3-1543 

2-5-463 

II. 421 
23.3.193 
41. 113 

2-7-331 

3'-5-io3 

22.19.61 

2-3-773 
25.5.29 



4650 
4700 



3-7-13-17 

2-11.211 

22.33.43 

5-929 
2.23.101 

3-1549 

23.7.83 

2-3-52-3I 



2-3-5--3I 

22.1163 

3'-ii-47 
2-13.179 

5-7'-i9 
2I.3.97 

2. 17.137 

3-1553 

2'-5-233 

59-79 

2.32.7.37 



23.11-53 

3-5-3II 
2-2333 
13-359 
22.3.389 

7-23-29 
2.5.467 

3'-i73 

26.73 



4700 
4750 



2-3-19-41 
52. II. 17 

22.7.167 

3-1559 

2-2339 

23.32.5.13 

31-151 
2.2341 

3-7-223 
22.1171 

5-937 
2. 3. II. 71 
43.109 

2^-293 

32.521 

2-5-7-67 



2-.3.17.23 
13.192 

2-2347 
3-5-313 

23.587 
7. II. 61 
2.3^.29 

37-127 
2 '-5 '-47 



22.52.47 

3-1567 
2-2351 

2^-3-72' "" 
5-941 
2. 13. 181 

3^-523 
22.11.107 
17.277 
2-3-5-157 

7-673 
23.19.31 

3-1571 

2-2357 

5-23-41 
22.32.131 

53-89 

2-7-337 

3.112.13 

2^-5-59 . 



-3-787 



22.1181 

3'-5'-7 

2-17-139 

29-163 

23-3.197 

2.5.11.43 

3-19-83 

22.7.132 

2-32.263 

5-947 

2V.37 

3-1579 
2.23.103 

7-677 
2'-3-5-79 

11-431 

2-2371 

3'-i7-3i 

2^-593 

5-13-73 

2-3-7-113 

47-101 

22.1187 

3-1583 
2-53-19 



4750 
4800 



2-5-19 

2-4.33. 1 1 

72.97 

2-2377 
3-5-317 
2_2.29.41 
67.71 
2.3. 13.61 

23.5.7.17 

32.232 

2.2381 

11-433 

2 --3-397 

5-953 

2.2383 

3.7.227 

2-5.149 

19.251 

2-3'-5-53 

13-367 
22.1193 

3-37-43 

2.7.11.31 

52.191 

23.3.199 

17.281 

2.2389 

3"*-59 
22.5.239 

7-6S3 
2.3.797 

2*. 13.23 

3.5.11-29 

2-2393 

22.32.7.19 

2-5-479 

3-1597 
23.599 

2.3.17-47 

5-7-137 
22.11.109 

3'-i3-4i 
2-2399 



132 BROWN & SHARPE MFG. CO. 

Prime Nttmbers and Factors, 4800-5 JOO. 



From 
To 



o 

I 
a 
3 
4 
5 
6 

7 
8 

9 
10 

II 
13 
13 
14 
15 
16 

17 

18 

19 
20 

21 
23 
23 
24 
25 
26 
27 
28 
39 
30 

31 
33 
33 
34 
35 
36 
37 
38 
39 
40 

41 
43 
43 
44 
45 
46 

47 
48 
49 
50 



50 
51 
53 
53 
54 
55 
56 
57 
58 
59 
60 

61 
63 
63 
64 
65 
66 
67 
68 
69 
70 

71 

73 
73 
74 
75 
76 
77 
78 
79 
80 

81 
83 
83 
84 
85 
86 

87 
88 

89 
90 

91 
93 

93 
94 
95 
96 

97 

98 

99 

100 



4800 
4850 



2''-3-5' 



2.7* 
3'i6oi 

22.I30I 

5-31' 

2.33.89 

11.19-23 

2^.601 

3.7.229 

2-5-I3-37 

17-283 
22.3-401 

2-29.83 

32.5.107 

2*-7-43 

2-3-11-73 
61-79 

22-5.241 

3.1607 
2.2411 

7-I3-53 

28.32.67 

5'-i93 

2-19.127 

3-1609 

22-17-71 

11-439 
2-3-5-7-23 



4850 
4900 



2.52.97 
32.72.11 

22.1213 

23-211 

2.3.809 

5-971 
2^.607 
3.1619 
2-7-347 

43- "3 

22.35.5 



2.11-13-17 

3-1621 

2^-19 

5-7-I39 
2-3-811 

31-157 

22-1217 

3'-54i 

2-5-487 



23-3-7-29 

"•443 
2-2437 

3-5'-i3 
2'-23-53 

2-32.271 
7-17-41 
2^-5. 61 





3-1627 
2-2441 


25.151 


33.179 


19-257 


2.2417 


22-3.II.37 


5-967 


5-977 


22.3.I3.3I 


2-7-349 


7.691 


33-181 


2.41.59 


23-13.47 


3-I6I3 

23.5.II2 




2-3-5-163 


47-103 


67-73 


2.32.269 


22.1223 


29.167 


3-7-233 


22.7.173 


2.2447 


3-5-I7-I9 


5.11.89 


2.2423 


25-32-17 


37-131 


59-83 


2*. 3.101 


2-31-79 


13-373 


3-23-71 


2-52.97 


22.52.72 



4900 

4950 



22.52.72 

132.29 

2-3-19-43 

23-613 
32.5.109 

2-11-223 

7-701 
22.3.409 

2.5.491 
3-1637 

2 '-307 

173 

2.33.7.13 

5-983 
22.1229 
3.II.I49 
2.2459 



23.3.5.41 

7.19.37 
2.23.107 

3'-547 
22-1231 

5'-i97 
2-3-821 

13-379 
2^-7-11 

3-31-53 
2-5-17-29 



22.32.137 

2-2467 

3-5-7-47 
23.617 

2-3-823 
11-449 
22. 5. 13.19 

34-61 
2-7-353 



2^.3.103 

5-23-43 

2.2473 

3.17.97 

22.1237 

72.101 

2.32.52.1 



4950 
5000 



2.3-.52.11 

23.619 
3-13-127 

2-2477 

5-991 

2'-3-7-59 

2-37-67 
32.19.29 

2'^-5-3i 

112.41 

2.3.827 

7.709 

22.17.73 

3-5-331 
2-13-191 

23.33.23 



2.5-7.71 

3-1657 
22. II. 113 



2.3.829 

5'-i99 
2^.311 

3'-7-79 
2-19-131 
13-383 
2^-3-5-83 

17-293 
2-47-53 
3-11-151 

23.7.89 

5-997 

2.32.277 

22-29-43 

3-1663 

2-5-499 

7-23-31 
2'-3-i3 



2-11-227 

3'-5-37 
22.1249 
19.263 
2.3.72.17 



5000 
5050 



23.54 

3.1667 

2.41.61 

22. 32. 13c, 
5.7. II. 13 
2-2503 
3-1669 
2*-3i3 

2.3.5.167 



22.7. 17^ 

3'-557 
2.23.109 

5-I7-59 
23.3. II. 19 

29-173 

2-13-193 

3-7-239 

22.5.251 



2-3*-3i 



25.157 

3-5'-67 

2-7-359 

11-457 

22.3.419 

47.107 
2-5-503 

3'-i3-43 

23.17.37 

7.719 
2-3-839 
5-19-53 
22.1259 

3-23-73 
2-11.229 

24.32.5.7 

712 
2.2521 

3-41' 
22.13.97 

5-1009 
2.3.292 
72.103 
23.631 
33.21.17 

2.52. lOI 



5050 
5100 



22.3.421 

31-163 
2.7.192 

3-5-337 

2*5.79 

13-389 

2.32.281 

22.5.11.23 

3-7-241 
2-2531 
61.83 

23. 3. 211 

5-1013 

2. 17.149 

3^-563 

22.7.181 

37-137 
2-3-5-13^ 

1 1. 461 
2^-317 
3-19-89 

2-43-59 
52.7.29 
22.33.47 

2-2539 
3-1693 

23.5.127 



2.3.7.112 

13-17-23 
22.31.41 

3^-5-113 
2-2543 

2'-3-53 

7-727 

2-5-509 

3.1697 

22.19.67 

11.463 

2.32.283 

5-1019 
23.72.13 

3.1699 
2.2549 

2^-3-5'-i7 



BROWN & SHARPE MFG. CO. 

Pfime Numbers and Factors, 5 1 00-5400, 



133 



From 
To 



o 

I 

3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 

18 

19 

ao 

21 
22 
23 
24 
25 
26 
27 
28 
29 
30 

31 

33 

33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 

47 
48 

49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 

72 

73 
74 
75 
76 

77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 

98 

99 

100 



5100 
5150 



22.3.52.17 
2-2551 

2*-lI'29 
5. 102 I 

2-3-23-37 

22.1277 
3-I3-I3I 
2-5-7-73 

19-269 

2^*3^*7i 

2-2557 
3-5-II-3I 

2--I279 

7-17-43 
2-3-853 



3 '-569 
2-13-197 
47-109 
22.3.7.61 

5'-4i 

2. II. 233 

3.1709 

2^.641 

23.223 

2.33.5.19 

7-733 

22.1283 

3-29-59 
2.17.151 

5-13-79 

2'*.3.io7 

11.467 

2.7.367 

3 '-57 1 

2'-5-257 

53-97 
2-3-857 
37-139 
2^-643 

3-5-7' 
2-31-83 



22.32.j1.j3 
19.271 
2-5-- 103 



5150 
5200 



2-5''. 103 

3.17-101 
25.7.23 

2-3-859 
5-1031 

22.1289 
3«.i9i 

2-2579 
7-11-67 

2'-3-5-43 

13-397 
2-29-S9 

3-1721 
22.1291 
5-1033 
2.32.7.41 

2^.17.19 

3-1723 
2-5-11-47 



2^-3-431 

7-739 
2-13-199 

3'-5'-23 
2^-647 
31.167 
2-3-863 

2'-5-7-37 

3-II-I57 
2-2591 

71-73 
26. 31 

5-17-61 
2-2593 
3-7-13-19 
22.1297 

2-3-5-I73 

29-179 
23-11-59 

3'-577 
2-7'-53 
5-1039 

2'-3-433 



2-23-113 
3-1733 

2-*-l^2.j3 



5200 
5250 



24.52.13 

7-743 

112-43 

22.1301 

3-5-347 

2-19-137 

41-127 
23.3.7.31 

2-5-521 

3'-i93 
22.1303 

13-401 
2-3-11-79 
5-7-149 
2 '.163 

3-37-47 
2.2609 
17-307 
22.32.5.29 

23-227 

2-7-373 

3-1741 

28-653 

52.11-19 

2-3-13-67 

22.1307 
3^-7-83 

2-5-523 



2^.3-109 

2-2617 

3-5-349 
22.7-11-17 

2-33-97 

13^-31 
23.5.131 

3-1747 

2-2621 

72-107 

22-3-19.23 

5-1049 

2-43-61 

3'-ii-53 

2^.41 

29.181 

2-3-5-^-7 



5250 
5300 



2-3-5^-7 
59-89 
22.13. lOI 

3-17-103 
2-37-71 

5-1051 

23.32,73 

7-751 
2-11-239 

3-1753 
22.5-263 



2-3-877 

19-277 

2-4-7-47 

3^-5-13 
2-2633 
23-229 

2'-3-439 
11-479 

2-5-17-31 

3-7-251 
23.659 

2.32.293 

52.211 

22.1319 

3-1759 
2-7-13-29 

25. 3. 5. II 



2-19-139 

3^-587 

22.1321 

5-7-151 
2.3-881 

17-311 

23.661 

3-41-43 

2-5-23' 

11-13-37 

22.33.72 

67-79 

2.2647 
3-5-353 
2*-33i 



2-3-883 

7-757 
2 '-5 '-53 



5300 
5350 



2'-5'-53 
32.19.31 

2-11.241 

23.3.13-17 

5-1061 

2-7-379 

3-29-61 

22.1327 

2-3'-5-59 

47-113 

2^-83 

3-7-11-23 

2-2657 

5-1063 

2 '-3-443 

13-409 

2-2659 

33.197 

23.5.7.19 

17-313 

2-3-887 



3-5'-7i 
2-2663 

7-761 

34.32.37 

73' 
2.5-13.41 

3-1777 
22.31.43 

2-3-7-127 

5-11-97 

23-23-29 

3 '-593 
2-17-157 
19-281 
22.3.5.89 

72.109 
2-2671 

3-13-137 
25-167 
5-1069 
2-35-11 



22.7. 191 
3-1783 

2-5'-io7 



5350 
5400 



2-52.107 

23.3.223 

53-I01 

2.2677 

3'-5-7-i7 

22.13.103 

11-487 

2-3-19-47 

23-233 

2*-5-67 

3-1787 

2-7-383 

31-173 
22.32.1^9 

5-29-37 

2.2683 

3-1789 

23-II-6l 

7-13-59 
2-3-5-179 

4I-I3I 

22.17-79 

33.199 

2.2687 

5'-43 

23.3.7 

19.283 
2.2689 

3-11-163 
22.5.269 



2.32.13.23 

7.769 

23.673 

3-5-359 
2.2693 

22.3.449 

17-317 

2. 5-72. II 

3 '-599 
2^-337 

2-3-29-31 

5-13-83 

22.19.71 

3-7-257 
2.2699 



•3-'-5^ 



134 BROWN & SHARPE MFG. CO. 

Pfime Nwmbefs and Factoirs, 5400-5700. 



From 
To 



o 

I 

3 
4 
5 
6 

7 
8 

9 

lO 

II 

12 

13 
14 
15 
i6 
17 
i8 
19 

30 

21 

22 
23 
24 
25 
26 
27 
28 
29 

30 

31 
32 

33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 

47 
48 

49 
50 



50 
51 
53 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 

67 
68 

69 
70 

71 

72 
73 
74 
75 
76 

77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 
98 

99 
100 



5400 
5450 



11-491 

2-37-73 

3'i8oi 

22.7.193 

5-23-47 

2-3-I7-53 



2" 
3' 
2-5-54I 



•13' 
.601 



7-773 
22.3.11.41 

2.2707 

3-5-I9' 

23.677 

2-3'-7-43 

2^.5.271 

3-I3-I39 
2.2711 
11.17-29 
2*. 3. 113 

5'-7-3i 

2*2713 

34.67 

22-23-59 

61.89 

2-3-5-181 



28.7.97 

3-1811 

2-11-13-19 

5.1087 
22.32.151 

2-2719 

3-7'-37 
26.5.17 



2.3.907 

22.1361 

3'-5-ii' 
2.7.389 

13-419 

2^.3.227 

2.52.109 



5450 
5500 



2.52.109 

3-23-79 

22.29.47 

7.19.41 

2.33. lOI 

5.1091 
2*. II. 31 
3. 17. 107 
2.2729 
53-103 
2'-3-5-7-i3 

43-127 

2.2731 

32.607 

23.683 

5-1093 

2.3.911 

7.11.71 

22.1367 

3-1823 

2-5-547 



2^.32. 19 

13.421 

2-7-17-23 

3-5'-73 
22.372 



2-3-11.83 

2''-5-i37 

33.7.29 
2.2741 

2 '-3-457 

5.1097 

2-13-211 

3-31-59 

24.73 

11-499 
2-32.5.61 

172.19 

22.1373 

3-1831 
2.41.67 

5-7-157 
23.3.229 

23-239 
2-2749 

3'-i3-47 

22.53.11 



5500 
5550 



2^.53.11 
2.3.7. 131 

2 ''-43 
3-5-367 

2-27-53 

22.34.17 

7.787 

2.5.19.29 

3.11.167 

2^-13-53 

37-149 

2.3.919 

5-1103 

22.7.197 

32.613 

2.31.89 



2*-3-5-23 



2. II. 251 

3-7-263 

22.1381 

5'-i3-i7 
2.32.307 



23-691 

3.19-97 

2-5-7-79 



22-3-461 

11-503 
2-2767 

3'-5-4i 
25.173 

72.113 

2-3-13-71 

29-191 

22.5.277 

3-1847 

2-17-163 

23-241 

23. 32. 7. 1] 

5. 1 109 

3-47-59 

3-43' 
22.19.73 

31-179 

2-3-5'-37 



5550 
5600 



2-3-5'-37 
7- 13-61 
2*-347 
32.617 

2-2777 

5.11.101 

22.3.463 

2.7.397 
3. 17. 109 
23.5.139 

67.83 
2.33.103 

22.13.107 

3-5-7-53 
2. 112.23 
19.293 
26.3.29 



2-5-557 



.619 
.7.199 



2.3.929 

52.223 

23.17.41 

3. II. 132 

2^2789 

7.797 

22.32.5.31 



2.2791 
3.1861 

2*-349 
5.1117 
2.3.72.19 

37-151 
22.11.127 

3'-23 
2-5-13-43 



2'-3-233 

7.17.47 

2-2797 

3-5-373 
22.1399 

29-193 

2-32.311 

11.509 

2-^-5'-7 



5600 
5650 



2''-5^-7 
3.1867 
2.2801 

13-431 
22.3.467 

5-19-59 

2.2803 

32.7.89 

23.701 

71.79 

2.3.5-11. 

31. 181 

22.23.61 

3.1871 

2-7-401 

5-1123 

24.33.13 

41-137 

2-53' 

3-1873 

22.5.281 

7.11.73 
2-3-937 



17 



23.19.37 

3'-5* 
2-29.97 

17-331 
22.3.7.67 

13-433 
2-5-563 

3-1877 

29.11 
43-131 ~ 

2-3'-3i3 

5-7'-23 

22-1409 

3.1879 

2.2819 

2^-3-5-47 



2.7. 13.31 
33. 1 1. 19 
22.17.83 
5. 1 129 
2.3.941 

2* -353 

3.7.269 

2.52.113 



5650 
5700 



2.52. 113 
22.32.157 

2. II. 257 

3-5-13-29 
23.7. lOI 

2.3.23.41 

2 2. ■5.283 ■ 

3'-i7-37 
2. 19.149 
7.809 

2^-3-59 
5. 1 1. 103 
2.2833 
3.1889 
22.13.109 

2-3^-5-7 

53-107 
23.709 
3-31-61 

2-2837 

52.227 

22.3.11.43 

7.811 

2-17.167 

32.631 

24.5.71 

13-19.23 
2.3.947 

22.72.29 

3-5-379 
2.2843 
112.47 
23.32.79 

2-5-569 

3.7.271 
22.1423 

2-3-13-73 

5-17-67 

26.89 

33.211 

2-7-11-37 

41-139 

2 '-3-5 '-19 



BROWN & SIIARPE MFG. CO. 

Prime Ntimbefs and Factors, 5700-6000. 



'35 



From 
To 



5700 
5750 



o 
I 
2 
3 
4 
5 
6 

7 
8 

9 
10 

II 
13 
13 
14 
15 
16 

17 
18 

19 



21 
22 
33 
24 
25 
26 

27 
28 
29 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 
47 
48 

49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 



20 70 



71 

72 
73 
74 
75 
76 

77 
78 

79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 

93 
94 
95 
96 

97 

98 

99 

100 



3-1901 
23.23.31 

5-7-I63 
2.32.317 

13-439 

22.1427 

3-II-I73 
2-5-S7I 



2^.3.7.17 
29.197 

2-2857 

3'-5-i27 
22.1429 

2 •3-953 
7.19.43 
23.5. II. 13 

3.1907 

2-2861 

59-97 

2 2-3^-53 

52.229 

2.7-409 

3-23-83 
2-5-179 

17-337 
2-3-5-191 

II. 521 
22.1433 

3'-7'-i3 
2.47-61 

5-31-37 
23.3.239 

2.19-151 

3-1913 

22.5.7.41 



5750 
5800 



2. 32. II. 29 

2-^-359 

3-5-383 
2. 132. 17 

7.821 
22.3.479 

2-5^-23 



2-5'-23 

3^-71 
23.719 

11-523 
2-3-7-137 
5-1151 
22.1439 

3.19-101 
2-2879 
13-443 
2'-3'-5 

7.823 

2-43-67 
3-17-113 

22.11. 131 

5- 1 153 

2.3.312 

73-79 

23.7.103 

32.641 

2-5-577 

29.199 

2'-3-i3-37 

23-251 

2.2SS7 

3.52.7.11 

2*. 192 

53-109 
2.33.107 

22.5.172 

3-41-47 
2-7'-59 



5800 
5850 



2-.3-241 

5-13-89 
2-11-263 

3'-643 

22.1447 

7.827 

2-3-5-193 



25. 181 

3-I93I 

2-2897 

5.I9.6I 
22.32.7.23 

II. 17.31 

2-13-223 

3-1933 

23.52.2g 



2-3-967 

7.829 

22.1451 

3'-5-43 
2.2903 



5850 
5900 



2.32.52.13 



2'*-3.Il2 

37-157 

2-5-7-83 

3-I3-I49 
2'- 1453 

2. 32. 17. 19 
5-I163 

23.727 

3-7-277 
2.2909 
11.232 

2'-3-5-97 



2-41-71 
32.647 

2^.7.13 

5'-233 
2.3-971 

22.31.47 

3.29-67 

2-5-II-53 

73.17 

23.36 

19.307 

2-2917 

3-5-389 
22.1459 

13-449 
2-3-7-139 

2*-5-73 

3'-ii-59 
2-23-127 

2 --3-487 

5.7.167 

2.37.79 

3-1949 

23.17-43 

2-3--5--I3 



2''. 7-11-19 

3-1951 
2-2927 
5.II71 
2^.3.61 



2.29. lOI 

3'-7-3i 
22.5.293 



2-3-977 
II. 13.41 

2^-733 

3-5-17-23 

2.7.419 

22.32.163 

2-5-587 

3. 19.103 

2"'-367 

7-S39 
2.3-11.89 

5'-47 
22. 13. 113 

3^-653 
2.2939 

23.3.5.72 



2. 17-173 

3-37-53 

22.1471 

5. II. 107 

2-33.109 

7.292 

2^.23 

3-13-151 
2.5.19.31 

43-137 
22.3.491 

71-83 
2.7.421 

3^-5-131 
23.11.67 



5900 
5950 



2-3-983 

17-347 
22.52.59 



22.52.59 

3-7-281 

2-13.227 

2I.32.41 
5. 1 181 

2-2953 
3. II. 179 
22.7-211 
19-311 
2-3-5-197 

23-257 
23.739 

3^-73 

2.2957 

5-7-13' 
22.3.17.29 

61.97 

2.11-269 

3-1973 

2-'-5-37 

31. 191 
2.32.7.47 

22.1481 

3-5'-79 
2.2963 

23. 3. 13. 19 

72.112 

2-5-593 

3'-659 

22.1483 

17-349 
2-3-23-43 

5. 1 187 

2*-7-53 
3-1979 
2.2969 

22. 33. 5. II 

13-457 

2.2971 

3-7-283 

2^-743 

5-29-41 

2.3.991 

19-313 

22.14S7 
32.661 

2-52-7-17 



5950 
6000 



2.5--7.17 

11-541 

2«-3.3i 

2-13-229 

3-5-397 

22.14S9 

7-23-37 
2-3'-33i 
59-101 
23.5.149 

3-1987 
2. II. 271 
67. 89 

22.3.7.71 

5-1193 

2-19-157 

3'-i3-i7 

2*-373 

47-127 

2-3-5-199 

7-853 
22.1493 
3-11-181 
2-29.103 

5'-239 
23.32.83 

43-139 
2-72.61 

3-1993 
22-5-13-23 



2-3-997 
31-193 

2''.II-I7 

3'-5-7-i9 
2.41.73 

22.3.499 
53- "3 

2-5-599 

3-1997 
23.7.107 

13-461 

2-3^-37 
5- II- 109 
22-1499 

3-1999 
2-2999 

7-857 



136 BROWN & SHARPE MFG. CO. 

Prime Numbers and Factors, 6000-6300, 



From 
To 



6000 
6050 



6050 
6100 



6100 
6150 



6150 
6300 



6200 
6350 



6250 
6300 



o 

I 
2 
3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 

18 

19 
20 

21 
22 
23 
24 
25 

26 
27 
28 
29 
30 

31 
33 

33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 

47 
48 

49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 
97 
98 

99 
100 



17-353 
2-3001 
32.23.29 
22-i9'79 

5-I20I 

2. 3. 7. II. 13 

23.751 
3.2003 
2-5-60I 



22.32.167 

7-859 
2.31.97 

3-5-401 

2^-47 

11-547 

2-3-17-59 

13-463 

2'-5-7-43 

33.223 
2.3011 

19-317 

23.3.251 

52.241 
2. 23. 131 

3-7'-4i 
22. II. 137 

2.32.5.67 

37-163 

2*.I3.29 

3-2011 

2-7-431 
5-17-71 

2 '-3-503 

2.3019 

32.H.61 

2^-5-151 

7.863 
2-3-19-53 

22.1511 

3-5-13-31 
2.3023 

2'^ -3 ■^'-7"" 

23-263 

2. 52.112 



2.5^.11^ 
3-2017 
22. 17. 89 

2.3.1009 

5-7-173 

23.757 

32.673 

2-13-233 
73-83 
22.3.5. lOI 

II. 19. 29 

2-7-433 

3-43-47 

2*-379 

5-1213 

2-3'-337 

22.37.41 
3.7.172 

2-5.607 
13-467 

23. 3. II. 23 

2.3037 

3^-5^ 
22.72.31 

59-103 
2-3-1013 

26.5.19 

3.2027 
2.3041 
7.11.79 

22.32. jo2 

5-I2I7 
2. 17. 179 
3.2029 
23.761 

2-3-5-7-29 



2-1523 
32.677 

2.11-277 

5-23-53 
2*. 3.127 

7-13-67 
2-3049 
3-19-107 
22.52.61 



22.52.61 

2. 33. 113 

17-359 
23.7.109 

3-5-11-37 
2-43.71 

31-197 
22.3.509 
41.149 
2-5-13-47 



-7-97 
.191 



2.3.5^.41 

23.769 

3-7-293 
2-17.181 

5-1231 
2^-3^-19 

47-131 
2-3079 
3-2053 
2*-5-7-ii 

6i.ioi 
2-3-13-79 



2.3.1019 

5-1223 

22.11.139 

3-2039 

2-7-19-23 

29-211 

23.32.5.17 



2-3061 

3-13-157 
22.1531 

53.72 

2.3.1021 

11-557 

2^-383 

33.227 

2-5-613 



2=^-3-7-73 



2.3067 

3-5-409 

23.13.59 

17.192 

2-3^-11-31 

7-877 
22.5.307 

3.23.89 
2-37-83 

5-1229 

2-7-439 

32-683 

22.29-53 

11-13-43 

2-3-5'-4i 



22-23-67 

3'-5-i37 
2-3083 

7-881 
23.3.257 

31-199 
2.5-617 

3-112-17 
2'- 1543 

2.32.73 

5^-13-19 
2^-193 

3-29-71 
2-3089 

37-167 
22-3-5-103 



2-11-281 

33.229 

2=^-773 

5-1237 

2-3-1031 

23-269 

22.7. 13. 17 

3.2063 
2-5-619 

41-151 
2i.32.43 

11-563 
2-19-163 

3-5-7-59 
22.1549 



2'-5'-3i 
3'-i3-53 
2-7-443 

2^-3-11-47 

5-1-7-73 

2.29-107 

3-2069 

26.97 

7-887 

2-33.5.23 



2'-i553 

3.19-109 

'2-13-239 

5-11-113 
23.3.7.37 

2-3109 
32-691 
22.5-311 



2-3-17.61 

72.127 
24.389 

3-5^-83 
2-11.283 

13-479 
22.32.173 

2-5-7-89 

3-31-67 
23.19.41 

23.271 

2-3-1039 

5-29-43 

2'-i559 

3*-7-ii 

2-3119 

17-367 

2'-3-5-i3 

792 

2-3121 

3-2081 

22.7.223 

5-1249 

2 -3 '-347 



2-3-1033 
23-52.31 



23.11.71 
3-2083 

2.55 



2-5 

7-19-47 
22.3.521 

i3'-37 
2-53-59 
3'-5-i39 
2^.17.23 

2-3.7.149 

11-569 

2^-5-313 

3-2087 
2.31.101 

23.33.29 
5.7.179 
2. 13.241 
3-2089 
22.1567 

2-3-5-11-19 



2^72 
32.17.41 

2-3137 

5^-251 
2'-3-523 

2-43-73 
3-7-13-23 

2'-5-i57 

11.571 

2-3'-349 
61-103 

22.1571 

3-5-419 
2-7-449 

24.3.131 

19-331 

2-5-17-37 

3'-233 
22.112.13 

7-29-31 

2-3-1049 

5-1259 

23.787 

3-2099 
2-47-67 

22.32.52.7 



BROWN & SHARPE MFG. CO. 

Prime Numbers and Factors, 6300-6600. 



'37 



From 
To 



o 

I 

3 

3 
4 
5 
6 

7 
8 

9 

lO 

II 

13 
13 
14 
15 
i6 

17 
i8 

19 
3o 

31 
33 
33 
34 
35 
36 
37 
38 
39 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 
43 
43 
44 
45 
46 

47 
48 

49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
63 
63 
64 
65 
66 
67 
68 
69 
70 

71 

72 
73 
74 
75 
76 

77 
78 
79 
80 

81 
83 
83 
84 
85 
86 

87 
88 

89 
90 

91 
93 
93 
94 
95 
96 

97 
98 

99 
100 



6300 
6350 



2^.3^.52.7 

2.23-137 
3.11-191 

5-13-97 
2.3.1051 

7-I7-53 
22.19.S3 
3-701 
2-5-63I 



28.3.263 

59-107 

2.7.11.41 

3-5-42I 
22.1579 



2.35.13 

71.89 

21.5.79 

3-7'-43 
2.29.109 

22.3.17.31 

5^-ii-23 
2-3163 

3' -19-37 
23.7.113 



2. 3.5. 211 

13-487 
2 ■'•1583 
3.2111 
2-3167 

5-7-181 
26.32.11 

2-3169 
3-2113 
2^-5-317 

17-373 
2-3.7.151 

2^.13.61 

3'-5-47 
2.19.167 

11-577 
22.3.232 

7.907 

2-5'-i27 



6350 
6400 



2.52.127 

3-29-73 
21.397 

2-3'-353 
5-31-41 

22.7.227 

3-13-163 
2.11.172 

2'-3-5-53 



2.3181 
32.7.101 

2'-37-43 

5.19.67 

2.3.1061 



25-199 
3-11-193 

2-5-7'-i3 

23-277 
22.33.59 

2.3187 

3-5'-i7 
23.797 

7.911 

2.3.1063 



22.5-11.29 

32.709 
2-3191 

13-491 
2^-3.7-19 

5-1277 
2-31.103 
3-2129 
22.1597 

2.32.5.71 



7.11.83 
2^.17.47 

3-2131 
2.23.139 

5-1279 
23.3.13.41 

2-7-457 
3*-79 

2^.52 



6400 
6450 



2-5 

37-173 
2.3.11-97 

19-337 
22-1601 
3-5-7-61 
2-3203 

43-149 
2^-32-89 
13-17-29 
2-5-641 

3-2137 
22.7.229 

ii'-53 
2.3.1069 
5-1283 
2^.401 

3^-23-31 
2.3209 
72.131 
22.3.5.107 



2.132.19 

3.2141 

28.11.73 

5'-257 
2.33.7.17 

22.1607 

3-2143 

2-5-643 

59-109 
25.3.67 
7-919 

2-3217 

3'-5-"-i3 
22.1609 

41-157 
2-3-29-37 
47-137 
2805.7.23 

3-19-113 
2.3221 

17-379 
22.32. 17c, 

5.1289 

2.11.293 

3-7-307 
24.13.31 

2-3-5^-43 



6450 
6500 



2-3-5'-43 

22.1613 

3'-239 

2.7.461 

5.1291 

28.3.269 

11.587 

2.3229 

3-2153 
22.5. 17.19 

7.13.71 

2-3'-359 

23.281 

36.101 

3-5-431 
2-53-61 
29.223 
22.3.72. II 

2-5-647 

3^-719 
28-809 

2-3-13-83 

5'-7-37 

22-1619 

3.17-127 

2-41-79 

11-19-31 

2*-3*-5 



2-7-463 

3-2161 

22-1621 

5-1297 

2-3-23-47 

13-499 

28-811 

32.7.103 

2-5-11-59 



2'-3-54i 

43-151 

2-17-191 

3-5-433 
2'. 7-29 

73-89 
2.32.192 

67-97 

2"-5^-i3 



6500 
6550 



2-. 58. 13 

3.11.197 

2-3251 
7.929 

28.3.271 
5-1301 

2-3253 

38.241 

22.1627 

23.283 

2-3-5-7-31 

17-383 

2-*. 11.37 

3.13.167 

2-3257 

5-1303 

22.32.181 

73.19 

2-3259 
3-41-53 
28.5.163 



2-3-1087 

11-593 

22-7.233 

32.52.29 

2-13-251 
61-107 

2'-3-i7 

2-5-653 

3-7-311 
22.23-71 

47-139 
2-38-112 

5-1307 
28.19.43 

3-2179 
2-7-467 

13-503 
22.3.5-109 

31-211 

2-3271 

32.727 

2* .409 

5-7-11-17 

2-3-1091 

22.1637 
3-37-59 
2-5^-i3i 



6550 
6600 



2.52.131 
28.32.7.13 

2. 29-113 

3-5-19-23 
22.11-149 

79-83 
2.3.1093 

7-937 
25.5.41 

3' 
2-17-193 

2 '-3-547 
5-13-101 
2-72-67 
3.11-199 

28.821 

2-3'-5-73 



2'-3i-53 

3-7-313 

2-19-173 

5^-263 
2*-3-i37 

2-11-13-23 

3'-i7-43 

22.5.7-47 



2-3-1097 

29-227 

28.823 

3-5-439 
2-37-89 
7-941 
22.38.61 

"•599 
2-5-659 

3-13' 
26.103 

19-347 
2-3-7-157 
5-1319 
22.17.97 

3 '-733 
2-3299 

2^-3-5'-" 



138 BROWN & SHARPE MFG. CO. 

Prime Numbers and Factors, 6600-6900. 



From 
To 



6600 
6650 



6650 
6700 



6700 
6750 



6750 
6800 



6800 
6850 



6850 
6900 



o 

I 

3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 

18 

19 
30 

21 
22 
33 
24 
25 
26 

27 
28 
29 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 

47 
48 

49 



50 
51 
53 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 

67 
68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 

79 
80 

81 
83 
83 
84 
85 
86 

87 
88 
89 
90 

91 
92 

93 
94 
95 
96 

97 
98 

99 



50 1 100 



23. 3.5-. II 

7-23.41 
2-3301 

3-3I-7I 
22.13-127 

5-1321 
2.32.367 

24-7-59 

3-2203 

2-5-661 

11-601 

22.3-19-29 

17-389 

2-3307 

o 5 7 

23.827 

13-509 
2-3-1103 

2^-5-331 

3-2207 
2-7-11-43 

37-179 

25.32.23 

5'-53 

2-3313 

3-47' 

22.1657 

7-947 

2-3-5-13-17 

19-349 

23.829 

32.11-67 

2-31-107 

5-1327 
22-3-7-79 

2-3319 
3-2213 

2^^-5-83 

29-229 
2-34-41 

7-13-73 
22. II. 151 

3-5-443 
2-3323 

172.23 

2^-3.277 

61-109 

2-5'-7-i9 



2-52.7.19 

3'-739 
22.1663 



22.52.67 
2-3-1117 



2-3-1109 

5-Il3 

29.13 

3-7-317 
2-3329 

2'-3'-5-37 



2-3331 
3-2221 
23-72.17 

5-31-43 
2-3-11-101 

59-113 
22.1667 
33.13.19 
2-5.23-29 

7-953 
2^-3-139 

2-47-71 

3-5^-89 
22.1669 
11-607 
2-3^-7-53 

23-5.167 

3-17-131 

2-13-257 

41-163 

2^-3-557 

5-7-191 

2-3343 

3'-743 

2-5-11-19 

2-3-5-223 



2-7-239 

3-23-97 

2-3347 

5-13-103 
23.33.31 

37-181 
2-17-197 

3-7-11-29 

22.52.6y 



24.419 

3^-5-149 

2-7-479 

19-353 

2'-3-i3-43 

2.5.11.61 

3-2237 
23-839 

7'-i37 

2-3'-373 

5.17.79 

22.23-73 

3-2239 

2-3359 

2*^-3-5-7 

11-13-47 
2-3361 

3^-83 
22.412 

52.269 

2-3-19-59 
7.312 

23.292 

3-2243 

2-5-673 

53-127 
22.32.11.17 

2-7-13-37 

3-5-449 

24-421 

2-3-1123 
23-293 

2'-5-337 

32.7.107 
2-3371 
11-613 
23-3-281 

5-19-71 

2-3373 

3-13-173 
22-7-241 

17-397 

2-3''-5^ 



2-3'-5' 
43-157 

2''-211 

3-2251 
2-11-307 

5-7-193 
2^-3-563 
29-233 
2-31-109 

3'-75i 
23.5.132 



2-3-72.23 

22.19.89 

3-5-11-41 
2-17-199 

67-101 

24.32.47 

7-967 
2-5-677 

3-37-61 ^ 
22.1693 
13-521 
2.3.1129 

52.271 

23-7-112 

33-251 

2-3389 

2^-3-5-113 



2-3391 
3-7-17-19 

2 ''•53 

5-23-59 

2-32-13.29 

11-617 

22-1697 

3-31-73 

2-5-7-97 



23.3.283 

2-43-79 

3^-5-151 
22.1699 

7-971 
2-3-11-103 

13-523 ■ 

24.^2.ry 



24.52.17 

3-2267 

2. 19.179 

22.35.7 

5-1361 
2-41-83 

3-2269 

23.23-37 

II-6I9 

2-3-5-227 

7'-i39 
22-13-131 

3'-757 

2-3407 

5-29-47 
2^.3.71 

17-401 

2-7-487 

3-2273 
22-5-11-31 

19-359 
2-3'-379 

2^-853 

3-5'-7-i3 

2-3413 

22-3.569 

2-5-683' 

33.11.23 
24.7.61 



2-5'-i37 

13-17-31 

2'-3-57i 

7-11-89 

2-23-149 

3-5-457 

23.857 

2-33.127 
19^ 

22.5.73 

3-2287 
2-47-73 

24.3.11.13 

5-1373 
2-3433 
32.7.109 
22.17.101 

2-3-5-229 



23-859 

3-29-79 

2-7-491 

54.11 

22.32.191 

13.232 

2-19-181 

3-2293 

2^-5-43 

7-983 
2-3-31-37 



2-3-17-67 

5-1367 
22.1709 

3-43-53 
2-13-263 

7-977 
23.32.5.19 



2.11.311 

3-2281 

22.29-59 

5-37' 

2-3-7-163 

41.167 

2^.107 

32.761 

2-5'-i37 



22.1721 

3*-5-i7 

2. 11-313 

71-97 

23.3-7.41 

832 

2-5-13-53 

3-2297 

22.1723 

61-113 

2-3'-383 

5-7-197 

24-431 

3-112-19 

2-3449 

22.3.52.23 



BROWN & SHARPE MFG. CO. 

Prime Numbers and Factors, 6900-7200. 



139 



From 
To 



6900 
6950 



6950 
7000 



7000 
7050 



7050 
7100 



7100 
7150 



7150 
7200 



o 

I 
z 
3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 
18 

19 
20 

21 

22 
23 
24 
25 
26 

27 
28 

29 
30 

31 
3a 
33 
34 
35 
36 
37 
38 
39 
40 

41 
42 

43 
44 
45 
46 

47 
48 

49 
50 



50 
51 
53 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 

79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 

93 
94 
95 
96 

97 
98 

99 
100 



23 



67-103 
2.7-I7.29 

3'-i3-59 
28.863 

5-1381 

2-3'ii5i 



22. II. 157 

3-7'-47 
2-5.691 



2-5--I39 

3-7-33I 

23-11-79 

17.409 

2-3-19-61 

5- 13- 107 

22.37.47 

3'-773 
2-72-71 

24-3.5.29 



31.223 
2-3457 
3-5-461 
22.7.13.19 

2-3-"53 
II. 17-37 

2'-5-i73 

32.769 

2-3461 

7-23-43 

2'-3-577 

5'-277 

2-3463 

3-2309 

2^-433 

i3'-4i 

2-32.5.7.11 

29-239 

22.1733 

3-2311 
2-3467 

5-19-73 

23-3-172 

7.991 

2-3469 

3'-257 
2 '-5-347 

11-631 
2-3-13-89 

53-131 
25.7.31 

3-5-463 
2-23-151 

22.32.193 
2-5'-i39 



2-59^ 
3-11-211 
22.1741 
5.7.199 

2-3^-43 

2^.13.67 
3-23-101 
2-5-17-41 



22.3.7.83 

19.367 

2-11.317 

3^-5^-31 
26.109 

2.3.1163 
7.997 

2'-5-349 

3-13-179 
2-3491 

23.32.97 
5-11.127 
2-7-499 

3-17-137 

22.1747 

29-241 
2-3-5-233 



2*-I9-23 

3^-7-37 
2-13-269 

5-1399 
2^-3-11-53 

3-3499 
3-2333 

23.c;3.y 



23.53.7 

2-32.389 

47-149 

22.17.103 

3-5-467 

2-3I-II3 

72-II-I3 

2'-3-73 
43-163 
2-5-701 

3.19.41 
2''-i753 

2.3.7.167 
5-23-61 

23.S77 

3-2339 
2. 112.29 



2-3-5'-47 

11-641 

22.41.43 

3-2351 

2-3527 

5-17-83 

34.32.72 

2-3529 
3. 13. 181 

2'-5-353 

23-307 

2. 3. II. 107 

7.1009 

23.S83 

3^-5-157 

2-3533 

37-191 
22.3. 19.31 



2^.52.71 

33.263 

2-53-67 

2"-3-37 
5.72.29 

2-11.17.19 

3-23-103 

22.1777 



2. 52. II. 13 

24.3-149 

23-3" 
2-72.73 

3'-5-53 
22.1789 

17-421 
2.3.1193 



2--3'-5-i3 

7.17.59 

2-3511 

3-2341 

2^-439 

52.281 

2.3-1171 

22-7.251 
32-11-71 

2-5-I9-37 

79.89 
23.3.293 

13-541 
2-3517 
3-5-7-67 
22.1759 

31-227 
2-32.17.23 

2'. 5. II 

3-2347 
2-7-503 

22.3.5S7 
5.1409 
2-13.271 
35.29 

23-881 

7-19-53 

2-3-5'-47 



2-5-7-IOI 

3-2357 
25.13-17 

11-643 
2.33. 131 

5^-283 
22.29.61 

3-7-337 
2-3539 



2^-3-5-59 

73-97 

2-3541 

3-787 

22. 7. 11.23 

5.13-109 

2.3.1181 

19-373 

2 ■'-443 

3-17-139 

2-5-709 

7.1013 
22.32.197 

41-173 

2-3547 
3-5- 1 1-43 

23.8S7 

47-151 
2.3.7.132 

31-229 

2--5-71 



2-3'-5-79 

13-547 
23.7.127 

3-2371 

2-3557 

5-1423 

2'-3-593 

11.647 

2-3559 

3'-7-"3 

24.5.89 



2-3.1187 

17-419 

22.13.137 

3-5'-i9 
2-7-509 

23. 3*. II 

2-5-23-31 



3-2377 
22.1783 
7-1019 
2-3-29-41 

5-1427 
25-223 
32.13.61 

2-43-83 . 
112.59 ■ 

2--3-5-7-I7 

37-193 
2-3571 
3-2381 
23.19.47 

5-1429 

2-3'-397 

7. 102 1 

22.1787 

3-2383 

2-5--"-i3 



23.3.179 

3-7-11-31 

2-3581 

13-19-29 

22.32.199 

5-1433 

2-3583 
3-2389 

210-7 

67.107 

2-3-5-239 

7I.IOI 

22. 11.163 

3'-797 
2.17-211 

5'-7-4i 
23.3.13.23 

2-37-97 
3-2393 
2'-5-359 

43-167 
2-33.7.19 

11-653 
2-1.449 

3-5-479 
2-3593 

2^-3-599 

7-13-79 

2-5-719 

32.17.47 
23.29-31 

2.3-II-I09 

5-1439 

22-7.257 

3-2399 
2.59-61 

23-313 

2^-3-5' 



140 BROWN & SHARPE MFG. CO. 

Prime Numbers and Factors, 7200-7500, 



From 
To 



7200 
7250 



7250 
7300 



7300 
7350 



7350 
7400 



7400 
7450 



7450 
7500 



o 

I 

2 
3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 

18 

19 
20 

21 
22 
33 
24 
25 
26 
27 
28 
29 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 
47 
48 

49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 
98 

99 
100 



35,32.^2 

19-379 

2-13.277 

3-7* 

22'l8oi 

5-II-I3I 

2-3'I20I 
23.17.53 

3*.89 
2.5.7.103 



2^.3.601 

2-3607 
3-5-I3-37 

2*.II.4I 

7.1031 
2-32.401 

22.5.192 

3-29-83 
2-23-157 

31-233 

2^-3-7-43 

52.172 

2-3613 

3'-ii-73 
22.13.139 

2-3-5-241 

7-1033 
2^.113 
3-2411 
2-3617 

5-1447 
22.33.67 

2.7.11.47 
3-19.127 

23.5. iSi 

13-557 
2.3. 17-71 

22.1811 

3'-5-7-23 
2-3623 



2-53.29 

3-2417 

22.72.37 

2.32. 13.31 

5-1451 
23.907 

3-41-59 
2.19.191 
7. 17.61 
22.3.5.112 

53-137 

2-3631 

33.269 

25.277 

5-1453 

2-3-7-173 

13^-43 

22.23.79 

3-2423 

2-5-727 

1 1. 661 
23.32.101 
7.1039 
2.3637 

3-5^-97 
22.17.107 

19-383 
2-3-1213 
29-251 
24.5.7.13 

32.809 
2-11-331 



22.52.73 

72.149 

2-3-1217 

67-109 

23.11.83 

3-5-487 
2-13-281 

22.32.7.29 

2-5-17-43 

3-2437 
2*-457 
71-103 

2-3-23-53 
5-7.11-19 
22.31.59 
33.271 

2-3659 
13-563 
23.3.5.61 



2-7-523 

3-2441 

22.1831 

5^-293 
2.32.11.37 

17-431 
2^.229 

3-7-349 
2-5-733 



2'-3-i3-47 



22.3.607 

5-31-47 

2-3643 

3-7-347 

23.911 

37-197 

2-3'-5 

23-317 
22.1823 
3-11-13-17 
2-7.521 

5-1459 
2'-3-i9 



2*-3-i5i 

11-659 

2-53.29 



2-41-09 
32.811 

22.52.73 



2.19-193 

3^-5-163 

23.7.131 

11.23-29 

2-3-1223 

41-179 

23.5.367 

3-2447 
2-3671 
7-1049 

2^-33.17 

5-13-113 
2-3673 
3-31-79 
22.11.167 

2-3-5 '-7' 



2.3.52,72 

23.919 

3^-19-43 

2-3677 

5-1471 

22.3.613 

7.1051 

2-13-283 

3.11.223 

26.5.23 

17-433 
2-32.409 

37-199 
22.7.263 

3-5-491 
2.29.127 

53-139 

2=* -3-307 
2-5-II-67 

3*-7-i3 
22.19.97 

73.101 

2-3-1229 

5 '-59 
2^-461 

3-2459 
2-7.17-31 

47-157 
22.32.5.41 

Il2.6l 

2-3691 

3-23.107 

23.13.71 

5.7.211 

2-3-1231 

83.89 

22.1847 

32.821 

2-5-739 

19.389 
2^.3.7.11 

2-3697 

3-5-17-29 
22.432 

13-569 
2.33.137 

7'-i5i . 
2 ^-5 '-37 



23.52.37 

3-2467 

2-3701 

11.673 

22.3.617 

5.1481 

2-7.232 

32.823 

24.463 

31-239 

2-3-5-13-19 



22.17.109 

3-7-353 

2-II-337 

5-1483 

23.32.103 

2-3709 
3-2473 

2^-5-7-53 

41. 181 
2-3-1237 

13-571 

28.29 

33.52.11 

2-47-79 

7.1061 

22.3.619 

17-19-23 

2-5-743 

3-2477 
23.929 

2-3'^-7-59 

5-1487 
22.11.132 

3-37-67 
2-3719 
43-173 
2*-3-5-3i 

7.1063 

2-6l2 

32.827 

22.1861 

5.1489 

2-3-17-73 

11.677 
23.72.19 

3-13-191 

2-5'- H9 



2.52.149 

22.34.23 

29-257 

2-3727 

3-5-7-71 

25.233 

2.3.11.113 

2=^-5-373 

32.829 
2-7-13-41 

17-439 
23.3.311 

5-1493 

2-3733 

3-19-131 

22.1867 

7.11.97 

2-3='-5-83 

31.241 
24.467 

3-47-53 
2-37.101 

5^-13-23 
22.3.7.89 

2-3739 

33.277 

23.5.11.17 



2-3-29-43 

7-1069 

22.1871 

3-5-499 
2.19.197 

26.32.13 
2.5.7.107 



3.11.227 
22.1873 

59-127 
2.3.1249 

5-1499 
23.937 

32.72.17 

2-23-163 
2''-3-5^ 



BROWN & SHARPE iMFG. CO. 

Prime Numbers and Factors, 7500-7500. 



141 



From 
To 



o 

I 
z 

3 
4 
5 
6 

7 
8 

9 
10 

II 
la 
13 
14 
15 
16 

17 

18 

19 
ao 

21 

22 
23 
24 
25 
26 

27 
28 

29 
30 

31 
32 
33 
34 
35 
36 
37 
38 

39 
40 

41 
42 

43 
44 
45 
46 

47 
48 
49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 

72 
73 
74 
75 
76 

77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 

93 
94 
95 
96 

97 

98 

99 

100 



7500 
7550 



13-577 

2.11-.31 

3-41.61 

2t.7.67 

s- 19-79 

2-3^.139 

22.1S77 

3-2503 

2-5-751 

7-29-37 

2'-3-3i3 

11.6S3 

2-13-17' 
32.5.167 
2-.iS79 

2.3.7.179 

73-103 

25.5.47 

3.23.109 
2.3761 

2^.32.11.19 

5'-7-43 

2-53-71 

3- 13- 193 
23.941 

2-3-5-25I 

17-443 
22.7.269 

3'-3i 
2.3767 

5-II-I37 
2*-3-i57 

2.3769 

3-7-359 
22.5.13.29 



2.32.419 

19-397 

2^.23.41 

3-5-503 
2. 73. II 

22.3.17.37 
2-5'-i5i 



7550 
7600 



2-5'-i5i 

3'-839 

2'-59 

7-13-83 

2.3.1259 

5-1511 
22.1889 
3.11.229 
2.3779 

23.33.5.7 



2. 19.199 

3-2521 

22.31.61 

5.17.89 

2-3-13-97 

7-23-47 

24.11.43 

32.292 

2-5-757 

67.113 
22.3.631 

2-7-541 

3.52. lOI 

23.947 

2.32.421 
11-13-53 
2'-5-379 

3-7-19' 
2.17.223 

25.3.79 

5-37-41 
2-3793 
33.281 

22.7.271 



-3-5-11-23 



23.13.73 

3-2531 

2-3797 

5-7'-3i 
22.32.211 

71.107 

2.29.I3I 

3-17-149 

2^-5'-i9 



7600 
7650 



2*.5'=.i9 

11.691 

2.3.7.181 

22.1901 

3'-5-i3' 
2-3803 

2 ='•3-3 17 

7-1087 

2.5.761 

3-43-59 

22. II. 173 

2-3^-47 
5-1523 

26.7.17 

3-2539 
2-13-293 
19.401 
22.3.5.127 



2.37-103 
32.7.112 

2'-953 

53.61 

2-3.31.41 

29.263 

22.1907 

3-2543 

2-5-7-109 

13-587 

2*-3'-53 

17-449 

2-11-347 

3-5-509 

22.23.83 

7.1091 

2-3-19-67 



23.5-191 

3^-283 
2-3821 

22.3.72.13 

5-11-139 
2-3823 
3-2549 
25.239 



-3'-5'-i7 



7650 
7700 



2-3"-5---i7 

7.1093 

22.1913 

3-2551 

2-43-89 

5-1531 

23. 3. 11-29 

13-19-31 

2-7-547 

3'-23-37 

2'-5-383 

47-163 
2-3-1277 
79-97 
2^-479 

3-5-7-73 

2-3833 

11-17-41 

22.33.71 

2-5-13-59 

3-2557 
23.7.137 

2-3.1279 

5 '-307 
22.19.101 

3^-853 
2. 11.349 
7.1097 

2^-3-5 



2.23.167 

3-13-197 
22. 17. 113 

5-29-53 
2.32.7.61 

23.312 

3-11-233 
2.5.769 



22.3.641 

7'-i57 

2-3847 

3*-5-i9 

2*-i3-37 

43-179 

2.3.1283 



22.52.7. II 



7700 
7750 



7750 
7800 



2-52. 7. II 

3-17-151 

2-3851 

23.32.107 

5-23-67 

2-3853 

3-7-367 

22.41.47 

13-593 

2-3-5-257 

II. 701 

25.241 

3-857 
2-7-19-29 

5-1543 
2^-3-643 

2-17-227 

3-31-83 
23.5.193 

7-1103 
2-33. II. 13 

22.1931 

3-5'-i03 

2.3863 

24.3.7.23 

59-131 

2-5-773 

3'-859 
22.1933 

1 1. 19.37 

2-3.1289 

5-7-13-17 
23.967 

3-2579 
2-53-73 
71.109 

2'-3'-5-43 



2.72.79 

3-29-89 
26.112 

5-1549 
2-3.1291 
61.127 
22.13.149 

3^-7-41 
2-5'-3i 



2-5'-3i 
23-337 
2^-3-17-19 

2-3877 
3-5-11-47 

22.7.277 

2.32.431 
24.5.97 

3-13-199 

2.3S81 

7-1109 

22.3.647 

5-1553 

2-11-353 

3-S63 

23.971 

17-457 
2-3-5-7-37 

19.409 
22.29.67 

3-2591 
2.132.23 

5'-3ii 
25.35 

7.11.101 

2-3889 

3-2593 
22.5.389 

31-251 
2.3.1297 
43.181 
23.7.139 

3'-5-i73 
2.17.229 

13-599 
22.3. II. 59 



2-5-19-41 

3-7' -53 
24.487 



2-3--433 

5-1559 

22.1949 

3-23-113 

2-7-557 
11.709 

2^-3-5'-i3 



142 BROWN & SHARPE MFG. CO. 

Prime Numbers and Factors, 7800-8 JOO. 



From 
To 



7800 
7850 



7850 
7900 



7900 
7950 



7950 
8000 



8000 
8050 



8050 
8100 



o 

I 

3 
3 
4 
5 
6 

7 
8 

9 
10 

II 
13 
13 
14 
15 
16 

17 
18 

19 
30 

31 
33 
33 
34 
25 
36 
37 
38 
39 
30 

31 

33 
33 
34 
35 
36 
37 
38 
39 
40 

41 
43 
43 
44 
45 
46 

47 

48 

49 
50 



50 
51 
53 
53 
54 
55 
56 
57 
58 
59 
60 

61 
63 
63 
64 
65 
66 
67 
68 
69 
70 

71 

73 
73 
74 
75 
76 

77 
78 
79 
80 

81 
83 
83 
84 
85 
86 
87 
88 

89 
90 

91 
93 

93 
94 
95 
96 

97 
98 

99 
100 



13 



29-269 

2.47.83 

22.1951 

5-7-223 

2.3-1301 

37-211 

2"-6l 

3-I9-I37 
2.5.11.71 



73.107 
22.32.7.31 

13.(501 
2.3907 

3-5-52I 

23-977 

2-3-I303 
7-III7 

22.5.17-23 

32.11.79 
2-3911 



2-5'-i57 
3-2617 
22. 13. 151 

2.3-7.11.17 

5-1571 
2^.491 

3*-97 
2.3929 
29.271 
2'-3'5-i3i 

7.1123 

2-3931 
3.2621 
23.983 

5-ii'-i3 
2.32-19.23 

22-7. 2S1 
3-43-61 

2-5-787 

17-463 
26.3.41 



2^.3.163 

5'-3i3 

2-7-13-43 

3.2609 

22.19.103 



2.31. 127 

3'-5'-7 
22. II. 179 



22.52.79 

2-3'-439 

7.1129 

2^.13.19 

3-5-17-31 
2.59-67 

22.3-659 

11-719 

2.5-7-113 

3'-293 
23.23.43 

41-193 
2.3.1319 

5-1583 
22.1979 

3-7-13-29 
2-37-107 

24.32.5.11 



2-17-233 

3-19-139 

22.7-283 

5'-3i7 
2.3-1321 



2-3-5'-53 



2.33.5-29 

41. 191 

23-11-89 

3-7-373 
2-3917 

5-1567 

2^-3-653 

17.461 

2-3919 
32.13.67 

25.5.72 



2.3.1307 

11-23.31 

2'-37-53 

3-5-523 

2-3923 

7.19.59 

23.32.109 

47.167 

2-5'-i57 



2.3-13-101 
23.5.197 

3-37-71 

2-7-563 

22.33.73 

5-19-83 

2-3943 

3-11-239 

2*. 17.29 

73.23 

2-3-5-263 

13.607 

22-1973 

32.877 

2-3947 

5-1579 

2S-3.7.47 

53- H9 
2-II-359 
3-2633 
22-52.79 



23.991 
32.881 
2.5. 13.61 

7. II. 103 
22.3.661 

2.3967 

3-5-23^ 
28.31 

2.34.72 
17.467 
2'-5-397 

3-2647 
2. 11.192 

i3'-47 

2'-3-33i 

5-7-227 

2-29-137 

3^-883 

22.1987 

2-3-5'-53 



24.7.71 

3-11-241 

2.41-97 

5-37-43 
22.32.13. 

73.109 
2-23-173 

3-7-379 
23.5-199 

19-419 
2-3-1327 



22. II. 181 

3'-5-59 
2.7.569 

31-257 
25-3-83 
13-613 

2-5-797 

3-2657 
22.1993 

7-17-67 

2-3'-443 
52.11.29 
23.997 
3-2659 

2-3989 
79-101 
22.3.5-7-19 

23-347 
2-13.307 
32.887 
24.499 

5-1597 
2.3.113 

72.163 
2^*1997 
3-2663 
2.5.17.47 

61.131 

23.33.37 



2.7.571 

3-5-13-41 
22.1999 

11.727 

2-3-31-43 
19.421 

2*^.53 . 



2B.^3 

32.7.127 

2-4001 

53-151 
22.3.23.29 

5' 1601 
2.4003 
3-17-157 

23. 7. II. 13 
2.32.5.89 



22.2003 

3-2671 

2-4007 

5-7-229 
24-3-167 

2-19.211 

36.11 

22.5.401 

13.617 

2.3.7.191 

71-113 

23-17.59 

3.52.107 

2.4013 

23-349 

22.32.223 

7-31-37 
2.5-11.73 

3-2677 

2^-251 
29.277 

2-3-I3-IO3 

5.1607 

22.72.41 

32.19.47 

2.4019 



23.3.5.67 

11.17.43 
2.4021 

3-7-383 

22.2011 

5.1609 

2.33.149 

13.619 

2* -503 
3-2683 

2-5'-7-23 



2.52.7.23 

83-97 
22. 3. II. 61 

2.4027 

3'-5-i79 
23.19.53 

7.1151 

2-3-17-79 

2'-5-i3-3i 

3.2687 
2-29-139 

"-733 

2^.32.7 

5-1613 
2.37.109 
3.2689 
22.2017 

2-3-5-269 

7-1153 
23.1009 

3^-13-23 

2.11.367 

52.17.19 

22.3.673 

41.197 

2-7-577 

3-2693 

24.5. lOI 



2.32.449 

59-137 

22.43.47 

3.5.72.11 

2. 13.311 



2'-3-337 



2.5- 

3^ 

22 



.29-31 

•7-172 



2-3.19.71 

5.1619 

25.11-23 

3-2699 

2-4049 

7.13.89 

2^-3^-5^ 



BROWN & SHARPE MFG. CO. 

Prime Numbers and Factors, 8100-8400. 



143 



From 
To 



o 

I 
z 

3 
4 
5 
6 

7 
8 

9 
10 

II 
13 
13 
14 
15 
16 

17 
18 

19 
20 

21 
23 
33 
34 
35 
36 
27 
28 
39 
30 

31 
33 
33 
34 
35 
36 
37 
38 
39 
40 

41 
43 
43 
44 
45 
46 
47 
48 

49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
63 
63 
64 
65 
66 
67 
68 
69 
70 

71 
73 
73 
74 
75 
76 
77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 

93 
94 
95 
96 

97 

98 

99 

100 



8100 
8150 



•3^-5^ 



4051 
37-73 
'•1013 
162 1 

^^•3-7-i93 
II ■-•67 
2^.2027 

3'-i7-53 
2.5.S11 



2^.3.13-= 

7-I9-6I 

2-4057 

3-5-54I 
22-2029 



2-3'^-ii-4i 

^3-353 
23-5.7.29 

3.2707 
2-31-131 

22.3.677 

5'*-i3 
2-17-239 

3'-7-43 

2'5.I27 

"•739 

2-3-5-271 

47-173 

22.19.107 

3-2711 

2-72-83 

5.1627 

2^-32-113 

79-103 

2-13-313 

3-2713 

22. 5. 11-37 

7.1163 

2-3-23-59 

17-479 

2^-509 

3'-5-i8i 
2-4073 

22.3.7.97 

29.2S1 

2.52-163 



8150 
8300 



2.52.163 

3-11-13-19 

2^-1019 

31-263 

2-33-151 

5-7-233 
22.2039 

3-2719 
2-4079 
41-199 
25.3.5.17 



2-7-11-53 

32.907 

22.13.157 

5-23-71 
2.3-1361 



2^-1021 
3-7-389 
2-5-19-43 



22.33.227 

"-743 

2.61.67 

3.52.109 

2^-7-73 

13-17-37 

2.3.29.47 

22.5.409 

3't.ioi 
2.4091 
72.167 
23.3-11.31 

5-1637 

2-4093 

3-2729 

22.23.89 

19-431 

2-3'-5-7-i3 



2l3 

3-2731 

2. 17.241 

5.II.I49 

22.3.683 

7.II7I 

2.4099 

32.911 

2^-5^-4i 



8300 
8350 



2-5-41 

59-139 
2-3.1367 

13-631 

22.7.293 

3-5-547 

2-11-373 

29.283 

2**3^"i9 

2^5.S2V 

3-7-17-23 
22.2053 

43-191 
2-3.372 

5-31-53 
23.13.79 

32.11.83 

2.7.587 



2--3-5-137 



2.4111 

3-2741 

2^.257 

5 '•7-47 

2-3'-457 

19-433 
22.112.17 

3-13-211 
2-5-823 



23.3.73 

2.23.179 

3^-5-6i 

22.29-71 

2-3-1373 
7. II. 107 
24-5.103 

3.41.67 
2-13-317 



2''.3''.229 

5-17-97 
2.7-19.31 

3-2749 
23.1031 

73-113 
2-3-5^-ii 



8350 
8300 



2-3-53. II 

37-223 

22.2063 

3^-7-131 
2-4127 

5-13-127 
2'-3-43 
23-359 
2-4129 

3-2753 
2'-5-7-59 

11-751 
2-35.17 

23.1033 
3-5-19-29 
2-4133 
7.1181 

2^-3-13-53 



2.5.827 

32.919 
2-1.11.47 

2.3.7.197 

5'-33i 
22.2069 

3-31-89 
2-4139 
17-487 
2^-3^-5-23 

72.132 

2.41. lOI 

3-11-251 
22.19.109 

5'-33i 
2-3-1381 

25.7.37 

3^-307 
2.5.829 



22.3.691 



2. II. 13-29 

3-5-7-79 
23.17.61 

2-32.461 
43-193 

2-5^-83 



8300 
8350 



22-52.83 
3-2767 

2-7-593 
192-23 

2^-3-173 

5-11-151 

2-4153 

3'-i3-7i 

22-31-67 

7-1187 

2-3-5-277 



23.1039 
3-17-163 
2-4157 
5-1663 
22. 33. 7. II 

2-4159 
3-47-59 

2'-5-i3 

53-157 
2-3-19-73 
7-29-41 
22.2081 

3'-5'-37 
2.23. iSi 

11-757 

2'-3-347 

2.5.72.17 

3-2777 

22.20S3 

13-641 

2-32-463 

5-1667 

2-1.52I 

3-7-397 
2-11-379 

31-269 

2'-3-5-i39 

19-439 
2-43-97 
3^-103 
23.7.149 

5-1669 
2-3-13-107 

17-491 
22.2087 
3. 112.23 
2.52.167 



8350 
8400 



2-52-167 

7-1193 
25-32-29 

2.4177 

3-5-557 
22-2089 

61-137 
2-3.7-199 

13-643 
2'-5-ii-i9 

32.929 
2-37-113 

22. 3-17. 41 

5-7-239 
2-47-89 

3-27S9 

2^-523 

2-3^-5-31 

11-761 
22.7.13.23 

3-2791 

2-53-79 

53.67 

2'-3-349 

2-59-71 
32.72.19 

22.5-419 

172.29 

2. 3. II. 127 

83.101 

2^.131 

3-5-13-43 

2-7-599 

22.32.233 

2-5-839 

3-2797 

23.1049 

7.11.109 

2-3-1399 

5-23-73 

22.2099 

33.311 

2-13-17-19 

37-227 
2^-3-5'-7 



144 BROWN & SHARPE MFG. CO. 

Pfime Numbers and Factors, 8400-8700, 



From 
To 



o 

I 

3 
3 
4 
5 
6 

7 
8 

9 

lO 

II 
la 
13 
14 
15 
16 

17 
18 

19 
20 

31 

33 
23 
34 
35 
36 

37 
38 
39 
30 

31 
3a 
33 
34 
35 
36 
37 
38 
39 
40 

41 
43 
43 
44 
45 
46 
47 
48 

49 



50 
51 
53 
53 
54 
55 
56 
57 
58 

59 
60 

61 
63 
63 
64 
65 
66 
67 
68 
69 
70 

71 
73 
73 
74 
75 
76 

77 
78 

79 
80 

81 

83 
83 
84 
85 
86 

87 
88 

89 
90 

91 
93 

93 
94 
95 
96 

97 
98 
99 
50 1 100 



8400 
8450 



17 



2^.3.5^.7 
31.271 

2'420I 
3-2801 
22-1I-I9I 

2.32.467 
7.I2OI 
2^.1051 
3-2803 

2.5.292 

13-647 
22.3.701 
47.179 
2.7.601 

3'-5-ii 
25.263 

19-443 
2.3.23.61 

22.5.421 

3.7-401 
2-4211 

23.34.13 

5 '-337 

2-11-383 

3-53' 
22.72.43 

2-3-5-281 



2^-17.31 

3'-937 
2.4217 

5-7-241 
22.3.19.37 

11-13-59 

2.4219 

3.29.97 

28.5.211 

23.367 
2.32.7.67 

22.2111 

3-5-563 
2.41. 103 

2^.3. II 
7.17-71 
2-5^-13' 



8450 
8500 



2-5-. 132 

3'-3i3 

22.2113 

79.107 

2-3-1409 

5.19-89 

23.7.151 

3-2819 

2-4229 

11-769 

2'-3'-5-47 



2-4231 

3-7-13-31 

34.232 

5-1693 
2-3-17-83 

22.29.73 • 

3^-941 
2-5-7-1x2 

43-197 
2^-3-353 
37.229 
2-19-223 

3-5^-113 
22.13.163 

7'-i73 
2.33.157 

61.139 

2'-5-53 

3. 1 1.257 
2.4241 
17.499 
22.3.7.101 

5-1697 
2.4243 
32.23.41 
2*.io6i 

13-653 
2-3-5-283 

7-1213 

22. II. 193 

3-19-149 

2-31-137 

5-1699 

24.32.59 

29-293 

2-7-607 

3-2833 

2'-5'-i7 



8500 
8550 



22.53.17 

2-3-13-109 

11-773 

2^.1063 

3 '-5- 7 

2-4253 

47.181 

22.3.709 

67.127 

2-5-23-37 

3-2837 
26.7.19 



2-3'-ii-43 
5-13-131 
22.2129 
3. 17. 167 

2-4259 
7.1217 
23.3.5.71 



2.4261 

3 '-947 
22.2131 

5^-11-31 
2.3.72.29 

2*. 13.41 
3-2843 

2-5-853 

19-449 
22,33.79 

7-23-53 
2-17-251 
3-5-569 
23.11-97 

2-3-1423 

22.5-7.61 



3'-i3-73 
2.4271 

25.3.89 
5.1709 
2.4273 

3-7-11-37 
22.2137 

83-103 
2.32.52.19 



8550 
8600 



2-3-5^-19 

17-503 

23.1069 

3-2851 
2.7.13.47 

5-29-59 
22.3.23.31 

43-199 
2. 11.389 

3^-317 
2*-5-io7 

7-1223 
2-3-1427 



22.2141 

3-5-571 
2-4283 

13-659 
23.32.7.17 

11-19.41 

2-5-857 

3-2857 
22.2143 

2-3-1429 

52.7a 

2T-67 

3^-953 
2-4289 

23-373 
22.3.5. II. 13 



2-7-613 

3-2861 

23.29.37 

5.17.101 

2-3*-53 

31-277 

22.19-113 

3-7-409 
2-5-859 

112.71 
24.3.179 
13-661 
2-4297 

3'-5-i9i 
22.7.307 

2-3-1433 

2'-5^-4'3 



8600 
8650 



23.5^.43 

3-47-61 

2-11-17-23 

7.1229 

22.32.239 

5-1721 
2-13-331 
3-19-151 
2^.269 

2-3.5-7-41 

79-109 

22.2153 

33.11-29 

2-59-73 

5-1723 

2^-3-359 

7-1231 

2-31-139 
3. 132. 17 

2'-5-43i 

37-233 
2-32.479 

24.72.11 

3-5'-23 
2-19-227 

22.3.719 

2-5-863 "■ 

3^-7-137 
23.13.83 

89-97 
2-3-1439 
5-11-157 
22-17-127 

3-2879 
2-7-617 

53-163 

26.33.5 



2-29.149 

3-43-67 
22.2161 

5-7-13-19 
2-3-11-131 

23.23.47 

3'-3i' 

2-5'-i73 



8650 
8700 



2-5'-i73 
41.211 

22.3.7.103 

17-509 

2-4327 

3-5-577 

24.541 

11.787 

2-3'-i3-37 

7-1237 

2'-5-433 

3-28S7 
2-61-71 

23.3.192 

5-1733 
2-7-619 
34.107 
22-11-197 

2.3.5.172 

13-23-29 

25.271 

3-7^-59 

2-4337 

5 '-347 
22.32.241 

2-4339 

3-11-263 

23.5.7.31 



2-3-1447 

19-457 

22.13.167 

3'-5-i93 
2-43.101 
7.17.73 
24.3. 181 

2-5-I1-79 

3-2897 
2^-41-53 

2.33.7.23 

5-37-47 
23.10S7 

3-13-223 
2-4349 

2 ^-3-5 '-29 



BROWN & SHARPE MFG. CO. 

Prime Numbers and Factors, 8700-9000. 



H5 



From 
To 



8700 
8750 



8750 
8800 



8800 
8850 



8850 
8900 



8900 
8950 



8950 
9000 



o 

I 

2 
3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 
18 

19 
20 

21 
22 
23 
24 
25 
26 
27 
28 
29 
30 

31 
32 
33 
34 
35 
36 
37 
38 
39 
40 

41 
42 
43 
44 
45 
46 
47 
48 
49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 
79 
80 

81 
82 
83 
84 
85 
86 
87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 

98 

99 

100 



2''-3-5''-29 
7-II.II3 

2-I9-229 

32.967 

29.17 

5-I/4I 
2-3-I45I 

22.7.311 

3.2903 

2-5.13.67 

31.281 
23.32.j13 

2-4357 
3-5-7-83 

22.2179 

23-379 
2-3-1453 

2*. 5. 109 

33.17.19 
2.72.89 
II. 13.61 

22.3.727 

5 '-349 

2-4363 

3.2909 

2^.1091 

7-29-43 

2-3''-5-97 



2 '•37-59 

3-41-71 

2-II-397 

5-1747 
25.3.7.13 

2-17-257 

3'-97i 

22.5.19.23 



2-3-31-47 

7.1249 

23.1093 

3-5-II-53 

2-4373 



13-673 

2-5*-7 



2.54.7 

3-2917 

2^-547 

2-3-H59 
5. 17. 103 
22. II. 199 

3'-7-i39 
2. 29.151 

19.461 

2'-3-5-73 



2-13-337 
3.23.127 
22.7.313 

5-1753 

2.32.487 

11.797 

26.137 

3-37-79 

2-5-877 

72.179 

2'-3-i7-43 

31-283 

2.41-107 

3'-5'-i3 
23.1097 
67.131 
2.3.7. II. 19 

2'-5-439 

3.2927 
2-4391 

2*. 32.61 

5-7-251 

2.23. 191 

3-29.101 

22.133 

11-17.47 

2-3-5-293 

59-149 

23.7. 151 
32.977 

2-4397 
5-1759 
2^-3-733 
19.463 

2-53-83 

3-7-419 
25.52.11 



25. 5''. II 

13.677 
2.33.163 

22.31.71 

3-5-587 
2.7.17.37 

2'-3-367 

23-383 

2.5.881 

32.11-89 

22.2203 

7-1259 

2-3-i3-"3 

5-43-41 

2*. 19.29 

3-2939 
2.4409 

22.32.5.72 



2.11.401 

3-17-173 
23.1103 

5'-353 

2.3-1471 

7.13-97 

22.2207 

3*. 109 

2-5-883 



27.3.23 
112.73 
2.7.631 

3-5-19-31 
22.472 



2-3-5'-59 
53-167 

22.2213 

3-13-227 
2.19.233 

5-7-11-23 
23.33.41 

17.521 

2.43.103 

3-2953 

2'-5-443 



2-3.7.211 

25.277 

3'-5-i97 
2. II. 13.31 

2'-3-739 

72.181 
2.5.887 

3-2957 
23.1109 
19-467 
2.32.17.29 

5^-71 
22.7.317 

3. 1 1-269 

2-23-193 

13-683 

2*-3-5-37 

83.107 
2.4441 

3'-7-47 
22.2221 

5-1777 
2.3.1481 



2.32.491 

23.5. 13. 17 

3-7-421 
2-4421 

37-239 

23. 3. II. 67 

5-29-61 

2-4423 
3^-983 

2*.7.79 
2-3-5^-59 



23.II-IOI 

3-2963 

2-5-7.127 

17-523 
22.32. 13. ic, 

2-4447 

3-5-593 
26.139 

7-31-41 
2.3-1483 
11-809 
22.52.89 



3'-23-43 

2-4451 
29.307 

2'-3-7-53 

5-13-137 

2-61-73 

3-2969 
22.17-131 

59-151 
2-34.5-11 

7.19.67 

2*-557 
3.2971 

2-4457 
5-1783 
2'-3-743 

37-241 

2.73.13 

32.991 

23.5.223 

11.811 
2.3.1487 

22.23.97 

3-5'-7-i7 

2-4463 

79-113 
25.32.31 

2.5.19.47 

3.13.229 

22. 7. II. 29 

2.3.1489 

5-1787 

23.1117 

3'-33i 
2-41-109 

7.1277 
22.3.5.149 



2.17.263 
3.11.271 

2^-13-43 

5.1789 

2.32.7.71 

23-389 

22.2237 

3-19-157 
2.52.179 



2.52.179 

2^-3-373 

7.1279 

2-112.37 

3'-5-i99 
22-2239 

i3'-53 

2-3-1493 
172.31 

28.5.7 

3.29.103 

2-4481 

22.33.83 

5.11-163 

2-4483 

3-72.61 

23.19.59 

2-3-5-13-23 



22.2243 

3'-997 
2.7-641 

5'-359 
2*.3.ii-i7 
47.191 
2.672 

3-41-73 
22.5.449 

7.1283 

2.32.499 

13.691 

23.1123 

3-5-599 

2-4493 

II. 19-43 

22-3-7.107 

89-101 

2-5-29.31 

3'-37 
25.281 
17.232 
2-3-1499 

5-7-257 
22.13-173 

3-2999 
2-11-409 

23-32.53 



146 BROWN & SHARPE MFG. CO. 

Prime Numbers and Factors, 9000-9300. 



From 
To 



9000 
9050 



9050 
9100 



9100 
9150 



9150 
9200 



9300 
9250 



9250 
9300 



o 

I 
2 
3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 
18 

19 
20 

21 
22 
23 
24 
25 
26 

27 
28 

29 
30 

31 
32 
33 
34 
35 
36 
37 
38 

39 
40 

41 
42 
43 
44 
45 
46 

47 
48 

49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 

67 
68 
69 
70 

71 

72 
73 
74 
75 
76 

77 
78 

79 
80 

81 
82 
83 
84 
85 
86 

87 
88 
89 
90 

91 
92 
93 
94 
95 
96 

97 

98 

99 

100 



•3'-5^ 



2.7.643 

3.3001 

22.2251 

5-1801 

2-3.19.79 

2^-563 
32.7-11. 13 

2-5-I7-53 



22.3.751 

2-4507 

3-5-601 

28.72.27 

71-127 

2.33.167 

29.311 

22.5-11.41 

3-3I-97 

2-I3-347 

7-1289 

2f--3-47 
52.192 

2-4513 

3'-i7-59 

22-37.61 

2-3-5-7-43 

II. 821 

2^.1129 

3'30" 

2-4517 

5-I3-I39 

22.32.251 

7.1291 
2-4519 
3-23-131 
2*-5-ii3 



2.5^.iSi 

3-7-431 
22.31.73 

11.823 

2 -3 '-503 

5.18H 

25.283 

3-3019 

2.7.647 



2^.52.7.13 

19.479 

2-3-37-41 

2^.569 

3.5.607 

2.29^157 

7.1301 

22.32.11.23 



22.3-5. 151 

13.17.41 

2-23-197 

3'-i9-53 
23.11.103 

5-7'-37 
2-3-15II 

22.2267 

3-3023 

2-5-907 

47-193 

2'*-3*-7 
43.211 

2-13-349 
3. 52.112 

22-2269 

29-313 
2-3.17-89 

7-1297 
23.5.227 

32.1009 

2-19-239 

31-293 

2'-3-757 

5-23-79 

2-7.11.59 

3-13-233 
2^.71 
61.149 
2-32-5-101 



2.3.11.137 

22.7.17.19 

3^-5-67 

2-4523 

83.109 

23.3.13-29 

2-52.181 



22.2273 
3-7-433 
2-4547 
5-17-107 

2=^-3-379 
11.827 

2-4549 
3'-337 

2^-5^-7-13 



2.5.911 

3-3037 

23.17.67 

13.701 

2.3-72.31 

5-1823 

2'-43-53 
32.1013 

2-47-97 
11.829 
25.3.5.19 

7-1303 
2.4561 

3-3041 

22.2281 

5'-73 
2.33.132 

23.7.163 
3.17.179 
2.5.11-83 

23-397 
22.3-761 

2-4567 

3'-5-7-29 
24.571 

2-3-1523 
13-19-37 
2'-5-457 

3-11-277 

2-7-653 

41-223 

23-32.127 

5-31-59 
2-17-269 

3-3049 

22.2287 

7.1307 

2-3-52.61 



2.3.52.61 

2^.11.13 

3*-ii3 
2-23-199 
5-1831 
22.3-7.109 

2.19.241 

3-43-71 
23.5.229 



2.32.509 

72.11.17 

22.29.79 

3-5-13-47 

2-4583 

89.103 

24.3.191 

53-173 
2.5.7.131 

32.1019 
22.2293 

2-3-11-139 

5^-367 
23.31-37 

3-7-I9-23 
2-13-353 
67.137 

2'-3'-5-i7 



2-4591 
3.3061 
25.7-41 

5-11-167 
2-3-1531 

22.2297 
32.1021 
2.5-919 

7-13-101 

2^-3-383 

29-317 

2-4597 

3-5-613 
22.112.19 

17-541 
2-3'-7-73 

2^-5'-23 



2*. 52.23 

3-3067 
2.43.107 

2^-3-13-59 
5-7-263 

2-4603 

3'-ii-3i 
23.1151 

2-3-5-307 

61.151 

22.72.47 

3-37-83 
2-17. 271 
5.19.97 

210.32 

13.709 
2-11.419 

3-7-439 
22.5.461 



2-3-29-53 

23-401 

23-11-53 

3'-5'-4i 
2-7-659 



2-5'-37 

11.292 

22.32.257 

19.487 

2.7.661 

3-5-617 
23.13.89 

2-3-1543 

47.197 

22.5.463 

33.73 

2. II. 421 

59-157 

2^-3-193 

5.17.109 

2.41.113 

3-3089 
22.7.331 

13-23-31 
2-3'-5-io3 

73.127 
23.19.61 
3. II. 281 
2-4637 

5'-7-53 
2'-3-773 



22.3.769 

11-839 

2-5-13-71 

3-17-181 
2*-577 
7-1319 
2-35.19 

5-1847 
22.2309 

3-3079 
2-31-149 

23.3.5.7.11 



2.4621 

3'-i3-79 
22.2311 

5-43' 

2-3-23-67 

7-1321 

25.172 

3-3083 
2-5'-37 



2.4639 
32.1031 

26.5.29 



2.3.7.13.17 

22.11-211 

3-5-619 
2.4643 

37-251 
23.33.43 

7-1327' 
2.5.929 

3-19-163 
22.23.101 

2-3-1549 
5-11-13' 

24.7.83 

3^-1033 
2.4649 

17-547 

22-3-5'-3i 



BROWN & SHARPE MFG. CO. 

Prime Numbers and Factors, 9300-9600. 



147 



From 
To 



o 

I 

2 
3 
4 
5 
6 

7 
8 

9 
10 

II 

13 
13 
14 
15 
16 

17 
18 

19 
20 

21 
23 
23 
34 
25 
26 
27 
28 
29 
30 

31 
33 
33 
34 
35 
36 
37 
38 

39 
40 

41 
42 
43 
44 
45 
46 
47 
48 
49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 

79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
93 

93 
94 
95 
96 

97 
98 

99 
100 



9300 
9350 



2^.3.52.31 
71. 131 
2-4651 

3-7-443 

23-ii63 

5.1861 

2-32.11.47 

41-227 

22.13.179 

3-29-107 

2.5-72.19 



25.3.97 

67-139 

^•4657 

3*-5-23 
22-17.137 

7-II3 

2-3-I553 

2='-5-233 

3-I3-239 
2-59.79 

22.32.7.37 

5'-373 
2.4663 

3-3109 

2*-ii-53 

19.491 

2-3-5-3" 

7-31-43 
22.2333 

32.17.61 

2-13-359 

5.1867 

23.3.389 

2-7-23-29 

3-11-283 

22.5.467 



2-33.173 

2^-73 
3-5-7-89 
2-4673 
13-719 
22.3. 19.41 

2-52.11.17 



9350 
9400 



2-5-. II. 17 
32.1039 
23.7.167 
47-199 

2-3-1559 

5-1871 

22.2339 

3-3"9 
2-4679 
72.191 

2*-3'-5-i3 

ii'23-37 

2-31-151 

3-3121 

22.2341 

5-1S73 

2-3-7-223 

17-19.29 

23.1171 

3'-347 
2-5-937 



22.3. 11.71 J 

7.13.103 

2.43.109 

3-5' 
25.293 

2.32.521 
83.113 

22.5.7.67 

3-53-59 
2.4691 

11-853 
23.3.17.23 

5-1877 

2-13-192 

32.7.149 

22.2347 

41-229 

2-3'5-3i3 



2^.587 

3-31-101 

2-7-11-61 

5-1879 

22.34.29 

2-37-127 

3-I3-24I 

23-52-47 



9400 
9450 



23.52.47 

7.17.79 

2.3.1567 



19 



22.2351 
3'-5-ii- 
2-4703 

23-409 

26.3.72 

972 
2-5-941 

3-3137 
22.13.181 

2-3^-523 

5-7.269 

23.11.107 

3-43-73 

2.17.277 



2'-3-5-i57 



2-7-673 

3 '-349 
2*. 19.31 

5'-i3-29 
2-3-1571 
11-857 
22.2357 

3-7-449 
2.5-23-41 



2-3-131 

2-53-89 
3-5-17-37 

2'-7-337 

2-3-112-13 

2'-5-59 

32.1049 

2.4721 

7-19-71 

22.3.787 

5.1889 

2.4723 

3.47.67 

23.1181 

11-859 

2-3'-5--7 



9450 
9500 



2.33.52.7 

13-727 
22.17.139 

3-23-I37 
2-29-163 

5-31-61 

2*-3-i97 

7^-193 

2-4729 

32.1051 

2^-5-11-43 



2-3-19-83 

23.7-132 

3-5-631 

2-4733 

22.32.263 

17-557 

2-5-947 

3-7-11-41 

28.37 

2-3-1579 

5'-379 

22.23.103 

3'-i3 

2.7-677 

2^-3-5-79 

19.499 

2-11-431 

3.29-109 

22.2371 

5.7.271 

2.32.17.31 

53-179 
2*-593 
3-3163 

2-5-13-73 



22.3-7.113 

11.863 

2-47-101 

32.5.211 

23.1187 



2-3-1583 

7-23-59 

22.53.19 



9500 
9550 



22-53.19 

3-3167 

2-4751 

13-17-43 

25.33.11 

5.1901 
2.72.97 

3-3169 

22.2377 

37-257 
2-3-5-317 



23.29.41 

3'-7-i5i 
2.67.71 

5-II-I73 
22.3.13.61 

31-307 
2-4759 
3.19-167 
24.5.7.17 



2-3-232 
89-107 
22.2381 
3.52.127 

2-II-433 
7-1361 

2'-3-397 

13-733 

2-5-953 

3 '-353 

22.2383 

2-3-7-227 

5.1907 

2^.149 

3.11.172 

2.19.251 

2'-3'-5-53 

7-29-47 
2.13-369 

3-31-Si 
23.1193 

5-23-83 
2-3-37-43 



22.7.11.31 

32.1061 

2-52-191 



9550 
9600 



2-5-. 191 

2^-3-199 

41-233 
2-17-281 

3-5-7'-i3 
22.2389 

19-503 

2-3^-59 
112.79 

23.5.239 

3-3187 
2-7-6S3 
73-131 
22.3.797 

5-1913 
2-4783 
32.1063 
25.13.23 

7-1367 
2-3.5.11-29 



17-563 
22.2393 

3-3191 

2.4787 

5^-383 
23.32.7. 

61.157 

2-4789 

3-31-103 
22.5.479 



19 



11.13.67 

2-3-1597 

7-37' 

2* -599' 

3'-5-7i 

2-4793 

22.3.17.47 

43-223 

2-5-7-137 

3-23-139 
23.11.109 

53-181 

2-32.13-41 

5-19-101 

22.2399 

3-7-457 

2-4799 

29-331 

2^-3-5^ 



148 BROWN & SHARPE MFG. CO. 

Prime Numbers and Factors, 9600-9900. 



From 
To 



9600 
9650 



9650 
9700 



9700 
9750 



9750 
9800 



9800 
9850 



9850 
9900 



o 

I 

2 
3 
4 
5 
6 

7 
8 

9 
10 

II 
13 
13 
14 
15 
16 

17 
18 

19 
ZO 

21 
22 
23 
24 
25 
26 

27 
28 

29 
30 

31 
32 
33 
34 
35 
36 
37 
38 

39 
40 

41 
42 
43 
44 
45 
46 

47 
48 

49 
50 



50 
51 
52 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 

77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 
98 

99 
100 



2'-3-5 = 



2-4801 
32.11.97 

22.74 

5-i7-"3 
2-3-i6oi 

13-739 

23-I20I 

3-3203 

2-5-31' 

7-1373 
22.33.89 

2. II. 19.23 

3-5-641 
24'6oi 

59-163 
2.3.7.229 

2'-5-i3-37 

32.1069 

2.17.283 

2^.3.401 

53.7.11 

2.4813 

3.3209 

22.29.83 



2.32.5.107 



25.7.43 

3-i3'-i9 

2-4817 

5-41-47 
22-3-11-73 

23-419 
2-61-79 

34.7.17 

23.5.241 

31-311 
2-3-1607 

22.2411 

3-5-643 

2-7-I3-53 

11-877 

24.32.67 

2-5'-i93 



2-5'-i93 
3-3217 
22.19.127 
72.197 

2.3.1609 

5-1931 

2*. 17. 71 

3^-29-37 
2.11.439 

13-743 
2='-3-5-7-23 



2.4831 
3.3221 
26.151 

5-1933 
2.33.179 

7.1381 

22.2417 

3-11-293 

2-5.967 

19.509 

2*-3-i3-3i 

17.569 

2.7.691 

3'-5'-43 
22.41.59 

2.3.1613 
24.5.112 



3.7-461 
2-47.103 
23.421 
22.32.269 

5-13-149 
2.29-167 
3.3229 

23.7.173 



22.52.97 

89. 109 
2.32.72.1 

31-313 

23.1213 

3-5-647 
2.23.211 

17-571 
22.3.809 
7.19.73 
2.5.971 



-13-83 
•607 



2.3.1619 

5.29-67 

22.7.347 

3-41-79 
2.43.113 



2-3-5^-13 
72.199 

23-23-53 

3-3251 

2.4877 

5-1951 
22.32.271 

11.887 

2.7.17.41 

3-3253 
25.5.61 

43-227 
2.3.1627 

13-751 
22.2441 

3'-5-7-3i 
2-19.257 



23.52.72 

34.112 

2-132.29 

2'-3-i9-43 

5-37-53 

2.4903 

3.7.467 

24-613 

17-577 
2-33.5.109 



22.11.223 

3-3271 
2.7.701 

5-13-151 
23.3.409 



23.35.5 



2-4861 

3-7-463 

22-11-13.17 

5 ='•389 
2.3.1621 

71-137 

2'.19 

3^-23-47 
2-5-7-139 

37-263 
22.3.811 

2-31-157 

3-5-11-59 

23.1217 

7.13.107 

2-3^-541 



23.3.11.37 

2-5-977 

3-3257 
22.7.349 

29-337 
2-33. 181 

5^-17-23 
24.13.47 

3-3259 



2-3-5-17-19 

11-881 
22.2423 

3^-359 
2.37-131 

5-7-277 
24.3.101 

2-13-373 
3-53-61 

22-52-97 



22.5.487 

3.17.191 
2-4871 

24-3.7.29 

5-1949 

2-11-443 

33.192 

22.2437 
2-3-5^-13 



7.11.127 
22.3.5.163 



2-67-73 

32.1087 

23.1223 

5-19-103 

2-3-7-233 

22.1247 

3-13-251 
2. 5. II. 89 



26.3^.17 

7-1399 

2-59-83 

3-5-653 
22.31.79 

97.101 

2.3.23-71 

41-239 , 

23.52.72 



2.4909 

32.1091 

22.5.491 

7-23-61 
2.3-1637 
1 1. 19-47 
25.307 

3-5'-i3i 
2-173 

31-317 
22.33.7.13 

2.5.983 

3.29.113 

23.1229 

2-3-11-149 

5-7-281 

22.2459 

32.1093 

2.4919 

24.3.5.41 

13-757 
2-7-19-37 

3-17-193 

22-23-107 

5-11-179 

2-3'-547 

43-229 

23.1231 

3.72.67 

2.52.197 



2.52.197 

22.3.821 

59-167 

2-13-379 

3'-5-73 

2^.7.11 

2-3-31-53 
22.5.17.29 

3-19-173 
2-4931 
7.1409 
23.32.137 

5-1973 
2-4933 
3-11-13-23 
22.2467 

71-139 
2-3-S-7-47 



24.617 

32.1097 

2-4937 

5'-79 

22.3-823 

7.17.83 

2.11.449 

3-37-89 
23.5. 13.19 

41.241 
2.34.61 

2='-7-353 

3-5-659 

2-4943 

25.3.103 
II. 29-31 
2-5-23-43 

3'-7-i57 
22.2473 
13.761 
2.3-17-97 

5-1979 
23.1237 

3-3299 
2.72.101 
19-521 
22.32.52.1 



BROWN & SHARPE MFG. CO. 

Prime Nwmbers and Factors, 9900-10200. 



149 



From 
To 



9900 
9950 



9950 

lOOOO 



lOOOO 

10050 



10050 

lOIOO 



lOIOO 

IOI50 



10150 
10200 



o 

I 
z 
3 
4 
5 
6 

7 
8 

9 
10 

II 
12 
13 
14 
15 
16 

17 
18 

19 
20 

21 

22 
23 
24 
25 
26 

27 
28 
29 
30 

31 
33 
33 
34 
35 
36 
37 
38 
39 
40 

41 
42 

43 
44 
45 
46 
47 
48 
49 
50 



50 
51 
53 
53 
54 
55 
56 
57 
58 
59 
60 

61 
62 
63 
64 
65 
66 
67 
68 
69 
70 

71 
72 
73 
74 
75 
76 
77 
78 
79 
80 

81 
82 
83 
84 
85 
86 

87 
88 

89 
90 

91 
92 
93 
94 
95 
96 

97 

98 

99 

100 



22.32.5^.11 

2-4951 
3-3301 

5-7-283 
2-3-13-127 

22.2477 

3^-367 
2-5.991 

"•17-53 

2'-3-7-59 

23-431 

2-4957 

3-5-661 

22.37.67 

47.211 

2.32.19.29 

7. 13.109 

2'-5-3i 

3-3307 
2.112.41 



2-5-199 
3.31. 107 
25.311 
37-269 
2.32.7.79 

5-ii.i8i 

22.19.131 

3-3319 

2-13-383 

23-433 

2'-3-5-83 

7-1423 
2.17.293 

3'-4i 
2'-47-53 
5-1993 
2.3.H.151 



22.3.827 

5 '-397 

2.7.709 

32.1103 

23.17.73 

2-3-5-33I 



2^.13. 191 

3-7-II-43 

2.4967 

5.1987 

24.33.23 

^9-523 
2.4969 

3-3313 

22.5.7.71 



2.3.1657 
61.163 

23.11. 113 

3'-5-i3-i7 

2-4973 
73.29 

22.3.829 
2.52.199 



2*. 7.89 

3-3323 

2-5-997 

^3^-59 

22.32.277 



2-4987 

3-5'-7-i9 

23.29.43 

11.907 

2.3.1663 

17.587 

22.5.499 

32.1109 
2.7.23.31 
67.149 
28.3.13 

5-1997 

2-4993 

3-3329 

22.11.227 

7.1427 

2-3'-5-37 

97-103 
23.1249 

3-3331 
2.19.263 

5-1999 
22.3.72 17 

13.769 

2-4999 
32. II. 101 

2^.5* 



21.5I 

73-137 
2.3.1667 
7-1429 
2". 41. 61 

3-5-23-29 
2-5003 

23.32. 13c, 

2-5.7.11.13 

3-47-71 

22.2503 

17.19-31 

2-3'i669 

5.2003 

25.313 

3^-7-53 
2-5009 

43-233 
22.3.5.167 

11-911 
2.5011 

3-13-257 
23.7.179 

52.401 
2-3'-557 
37-271 
22.23.109 

3-3343 
2-5-I7-59 

7-1433 

2*.3.ii.i9 

79.127 

2-29-173 

3^-5-223 

22.13.193 

2.3.7.239 

23.5.251 

3-3347 
2-5021 
112.83 
22.34.31 

5-7'-4i 

2 5023 

3-17-197 

2«-i57 

13-773 

2-3-5^-67 



2-3.52-67 
19-232 

2^-7-359 
32.1117 

2.11.457 

5-2011 

23.3.419 

89-113 

2.47.107 

3-7-479 

2^-5-503 



22.52.101 

3-7-I3-37 
2-5051 

23.3.421 

5-43-47 

2-31-163 

32.1123 

22.7.192 

11-919 

2-3-5-337 



2-3'-i3-43 
29-347 

24-17-37 

3-5-11-61 

2-7-719 

22 .■3.839 ■ 

2-5-19-53 

3'-373 
23.1259 

7-1439 
2-3-23-73 

22.11.229 

3-3359 
2.5039 

25.32.5.7 

17-593 

2-712 

3-3361 

22.2521 

5.2017 

2.3-412 

7-11-131 

23-13-97 

3'-i9-59 
2-5-1009 



-3.292 



2-72-103 

3-5-673 
24.631 

23-439 
2-33-11.17 

22.52.101 



2^-79 

3-3371 

2-13-389 

5.7.172 

22.32.281 

67.151 

2-5059 

3-3373 

23.5.11.23 

29-349 
2.3.7.241 

53-191 
22.2531 

3*-5' 
2.61.83 
13.19.41 
24.3.211 

7-1447 
2-5.1013 

3-11.307 
22.17-149 



2-3^-563 

5-2027 

23.7.181 

3.31-109 

2-37-137 

2^-3-5-13^ 



2.11-461 
32.72.23 

25.317 

5-2029 

2-3-19-89 

73-139 

2^-43-59 

3-17-199 

2-52.7.29 



2.52.7.29 

23.33.47 
11-13-71 

2-5077 

3-5-677 
22.2539 

7-1451 
2.3.1693 

24.5.127 

32.1129 
2.5081 

22.3.7.112 

5.19.107 

2. 13. 17.23 

3-33S9 
23.31.41 

2-3^-5-ii3 

7-1453 
22.2543 

3-3391 
2-5087 

5'-ii-37 
2'-3-53 



2-7-727 

33.13.29 

22.5.509 



2-3-1697 

17-599 
23.19.67 

3-5-7-97 
2-11-463 
61-167 
22.32.283 

23-443 
2-5-1019 

3-43-79 

24.72,13 

2.3.1699 
5-2039 

22.2549 
32.11.103 
2-5099 
7-31-47 
2 ^-3-5 ^-17 



Table of Leads. 



152 BROWN & SHARPE MFG. CO. 



Table of Leads. 



This table contains all the leads that can be obtained with 
any possible combination of the change gears furnished with 
Universal Milling Machines made by Brown & Sharpe Mfg. 
Co., even though some of the leads are not available for use 
on account of the gears interfering or not reaching. Com- 
binations of gears that are too small in diameter to reach for 
right-hand spirals can generally be used for left-hand spirals, 
as the reverse gear is then required and will enable the gears 
to reach. 

The two driving gears or the two driven gears of any com- 
bination can be transposed, but a driver must not be substituted 
for a driven or vice versa. Four different arrangements of the 
gears of any combination are thus possible Vv'ithout changing the 
ratio, and when one arrangement interferes or will not reach, the 
others should be tried. Thus, the gears to give a lead of 3.60'' 
are : drivers, 100 teeth and 32 teeth ; driven 24 teeth and 48 teeth. 
By transposing the gears, the following four arrangements may 
be obtained. 

1st. 2d. 3d. 4th. 

Gear on screw 100 32 100 32 

ist gear on stud 32 100 32 100 

2d gear on Stud 24 24 48 48 

Gear on Worm 48 48 24 24 



Drivers. 
Driven. 



The first arrangement, however, is the only one available, 
owing to the interference of the gears in the others preventing 
their meshing properly. 

When very short leads are required, it is preferable to disen- 
gage the worm wheel and connect the gearing directly to the 
spiral head spindle (using the differential indexing centre) instead 
of to the worm shaft. This method gives leads one fortieth of 
the leads given in the table for the same combinations of gears. 
Thus, for a lead of 6.160''' the table calls for gear on worm 56 
teeth, ist gear on stud 40 teeth, 2d gear on stud 44 teeth and 



BROWN & SHARPE MFG. CO. 1 53 

gear on screw lOO teeth. Putting the 56 tooth gear on the 

• 1, • 1 r 1 • 1 1 <• 6.160 ,, 

spindle instead of on the worm, gives a lead of = .154 . 

With this method very short leads may be obtained without 

excessively straining the mechanism but the regular means of 

indexing the work cannot be employed. A special face plate or 

dial can be used or another method is to have the number of 

teeth in the gear on the spindle some multiple of the number 

required to be indexed, swinging the gears out of mesh and 

advancing the gear on spindle the number of teeth required 

to index the work one division, at each indexing. Thus, if 

9 divisions are required with a lead of .261''', we select a lead 

from the table equal to about .361^' X 40 = 10.440", where 

the gear on worm (which will now be the gear on spindle) 

is some multiple of 9, as 73. The nearest lead is 10.467", 

. 10.467 ^ // 1 1 • • 

waiich gives ' — — =. .2617 lead, giving an error of .0007 . 



40 



73 



To index the work, the gear on spindle is advanced - — =8 teeth 
at each indexing. 



154 



BROWN & SHARPE MFG. CO. 

Table of Leads, ♦670" to 2. J 82''. 





DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


ST GEAR 
ON 
STUD 


JNDGEAR 
ON 
STUD 


GEAR 

ON 

SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


ST GEAR 
ON 
STUD 


2N0GEAR 
ON 
STUD 


GEAR 

ON 

SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


1ST GEAR 
ON 
STUD 


2'"'GEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


.670 


24 


86 


24 


100 


1-527 


24 


44 


28 


100 


1.886 


24 


56 


44 


100 


.781 


24 


86 


28 


100 


1-550 


24 


72 


40 


86 


1-905 


24 


56 


32 


72 


.800 


24 


72 


24 


100 


1-556 


28 


72 


40 


100 


1.919 


24 


64 


44 


86 


•893 


24 


86 


32 


100 


1.563 


24 


86 


56 


100 


1.920 


24 


40 


32 


100 


.900 


24 


64 


24 


100 


1-563 


2S 


86 


48 


100 


1-925 


28 


64 


44 


100 


•930 


24 


72 


24 


86 


1.595 


24 


56 


32 


86 


1-944 


24 


48 ' 


28 


72 


■933 


24 


72 


28 


100 


1.600 


24 


48 


32 • 


100 


1-944 


28 


64 


32 


72 


1.029 


24 


56 


24 


100 


1.600 


28 


56 


32 


100 


1-954 


24 


40 


28 


86 


1.04Z 


28 


86 


32 


100 


1.600 


24 


72 


48 


100 


1-956 


32 


72 


44 


100 


1.047 


24 


64 


24 


86 


1.607 


24 


56 


24 


64 


1.990 


28 


72 


44 


86 


1.050 


24 


64 


28 


100 


1.628 


24 


48 


28 


86 


1-993 


24 


56 


40 


86 


1.067 


24 


72 


32 


100 


1.628 


28 


64 


32 


86 


2.000 


24 


40 


24 


72 


1.085 


24 


72 


28 


86 


1-637 


32 


86 


44 


100 


2.000 


24 


48 


40 


100 


1. 116 


24 


86 


40 


100 


1.650 


24 


64 


44 


100 


2.000 


28 


56 


40 


100 


1.196 


24 


56 


24 


86 


1.667 


24 


56 


28 


72 


2.000 


32 


64 


40 


100 


1.200 


24 


48 


24 


100 


1.667 


24 


48 


24 


72 


2.009 


-24 


86 


72 


100 


1.200 


24 


56 


28 


100 


1.667 


24 


64 


32 


72 


2.030 


24 


44 


32 


86 


1.200 


24 


64 


32 


100 


1-674 


24 


40 


24 


86 


2-035 


28 


64 


40 


86 


1. 221 


24 


64 


28 


86 


I.6S0 


24 


40 


28 


100 


2.036 


28 


44 


32 


100 


1.228 


24 


86 


44 


100 


1.706 


24 


72 


44 


86 


2.045 


24 


44 


24 


64 


1.240 


24 


72 


32 


86 


1.711 


28 


72 


44 


100 


2.047 


40 


86 


44 


100 


1.244 


28 


72 


32 


100 


1.714 


24 


56 


40 


100 


2.057 


24 


28 


24 


100 


1.250 


24 


64 


24 


72 


1-744 


24 


64 


40 


86 


2-057 


24 


56 


48 


100 


1.302 


28 


86 


40 


100 


1-745 


24 


44 


32 


100 


2.067 


32 


72 


40 


86 


1.309 


24 


44 


24. 


100 


1-750 


28 


64 


40 


100 


2.083 


24 


64 


40 


72 


i-333 


24 


72 


40 


100 


1.776 


24 


44 


28 


86 


2.084 


28 


86 


64 


100 


1.340 


24 


86 


48 


100 


1.778 


32 


72 


40 


100 


2.084 


32 


86 


56 


100 


I-37I 


24 


56 


32 


100 


1.786 


24 


86 , 


64 


100 


2-093 


24 


64 


48 


86 


1-395 


24 


48 


24 


86 


1.786 


32 


86 


48 


100 


2.093 


24 


32 


24 


86 


1-395 


24 


56 


28 


86 


i.Soo 


24 


64 


48 


100 


2.100 


24 


64 


56 


100 


1-395 


24 


64 


32 


86 


1.800 


24 


32 


24 


100 


2.100 


28 


64 


48 


100 


1.400 


24 


48 


28 


100 


1.809 


28 


72 


40 


86 


2.100 


24 


32 


28 


100 


1.400 


28 


64 


32 


100 


1.S18 


24 


44 


24 


72 


2. 121 


24 


44 


28 


72 


1.429 


24 


56 


24 


72 


1.823 


28 


86 


56 


100 


2.133 


24 


72 


64 


100 


1-433 


28 


86 


44 


100 


i.S6o 


28 


56 


32 


86 


2-133 


32 


72 


48 


100 


1.440 


24 


40 


24 


100 


1.861 


24 


72 


48 


86 


2.143 


24 


56 


32 


64 


1.447 


28 


72 


32 


86 


1.S61 


24 


48 


32 


86 


2.143 


24 


48 


24 


56 


1.458 


24 


64 


28 


72 


1.S67 


28 


48 


32 


100 


2.171 


24 


72 


56 


86 


1.467 


24 


72 


44 


100 


1.867 


24 


72 


56 


100 


2.171 


28 


48 


32 


86 


1.488 


32 


86 


40 


100 


1.867 


28 


72 


48 


100 


2.171 


28 


72 


48 


86 


1-500 


24 


64 


40 


100 


1-875 


24 


48 


24 


64 


2.17S 


28 


72 


56 


100 


1 1-522 


24 


44 


24 


86 


1-S75 


24 


56 


28 


64' 


2.1S2 


24 


44 


40 


100 



BROWN & SHARPE MFG. CO. 

Table of Leads, 2J88" to 3.080", 



155 





DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


ST GEAR 

ON 
STUD 


2N0r,EAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


1ST GEAR 
ON 
STUD 


2NDGEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


ISTGEAR 
ON 
STUD 


2NDGEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


2.1S8 


24 


48 


28 


64 


2 500 


24 


48 


28 


56 


2.S0O 


24 


24 


28 


iOO 


2-193 


24 


56 


44 


86 


2.500 


28 


56 


32 


64 


2.800 


32 


64 


56 


100 


2.200 


24 


48 


44 


100 


2.500 


24 


64 


48 


72 


2.800 


24 


48 


56 


100 


2.200 


28 


56 


44 


100 


2.500 


24 


48 


32 


64 


2.812 


24 


32 


24 


64 


2.200 


32 


64 


44 


100 


2.500 


24 


32 


24 


72 


2.828 


28 


44 


32 


72 


2.222 


24 


48 


32 


72 


2-514 


32 


56 


44 


100 


2.843 


40 


72 


44 


86 


2.222 


28 


56 


32 


72 


2-532 


28 


72 


56 


86 


2.845 


32 


72 


64 


100 


2.233 


40 


86 


48 


100 


2-537 


24 


44 


40 


86 


2.849 


28 


64 


56 


86 


2.233 


24 


40 


32 


«6 


2.546 


28 


44 


40 


100 


2.857 


24 


48 


32 


56 


2.23S 


28 


64 


44 


86 


2-55S 


32 


64 


44 


86 


2-S57 


24 


56 


48 


72 


2.240 


28 


40 


32 


100 


2.55S 


28 


56 


44 


86 


2.S57 


24 


28 


24 


72 


2.230 


24 


40 


24 


64 


2-55S 


24 


48 


44 


86 


2.S65 


44 


86 


56 


100 


2.274 


32 


72 


44 


86 


2-567 


28 


48 


44 


100 


2.S67 


86 


72 


24 


100 


2.286 


32 


56 


40 


100 


2.571 


24 


40 


24 


56 


2.880 


24 


40 


48 


100 


2.292 


24 


64 


44 


72 


2-593 


28 


48 


32 


72 


2.894 


28 


72 


64 


86 


2.326 


32 


64 


40 


86 


2.605 


28 


40 


32 


86 


2-894 


32 


72 


56 


86 


2.326 


24 


48 


40 


86 


2.605 


40 


86 


56 


100 


2.909 


32 


44 


40 


100 


2.326 


28 


56 


40 


86 


2.618 


24 


44 


48 


100 


2.917 


24 


64 


56 


72 


2.333 


28 


48 


40 


100 


2.619 


24 


56 


44 


72 


2.917 


28 


64 


48 


72 


2-333 


24 


40 


28 


72 


2.625 


24 


40 


28 


64 


2.917 


28 


48 


32 


64 


2.33S 


24 


44 


24 


56 


2.640 


24 


40 


44 


100 


2.917 


24 


32 


28 


72 


2-344 


28 


86 


72 


100 


2.65S 


32 


56 


40 


86 


2.924 


32 


56 


44 


86 


2.36S 


28 


44 


32 


86 


2.667 


40 


72 


43 


100 


2.933 


44 


72 


48 


100 


2.3S1 


32 


86 


64 


100 


2.667 


32 


48 


40 


100 


2-934 


32 


48 


44 


100 


2.381 


24 


56 


40 


72 


2.667 


24 


40 


32 


72 


2.946 


24 


56 


44 


64 


2.3S6 


24 


44 


28 


64 


2.674 


28 


64 


44 


72 


2.950 


28 


44 


40 


86 


2.392 


24 


56 


48 


86 


2.678 


24 


56 


40 


64 


2.977 


40 


86 


64 


100 


2.392 


24 


28 


24 


86 


2.679 


32 


86 


72 


100 


2.984 


28 


48 


44 


86 


2.400 


28 


56 


48 


100 


2.700 


24 


64 


72 


100 


3.000 


24 


40 


28 


56 


2.400 


32 


64 


48 


100 


2-713 


28 


48 


40 


86 


3.000 


24 


40 


32 


64 


2.424 


24 


44 


32 


72 


2.727 


24 


44 


32 


64 


3.000 


24 


32 


40 


100 


2.431 


28 


64 


40 


72 


2.727 


24 


44 


28 


56 


3.000 


40 


64 


48 


100 


2.442 


24 


32 


28 


86 


2.727 


24 


44 


24 


48 


3.000 


24 


40 


24 


48 


2.442 


28 


64 


48 


86 


2.743 


24 


56 


64 


100 


3-030 


24 


44 


40 


72 


2.442 


24 


64 


56 


86 


2-743 


32 


56 


48 


100 


3.044 


24 


44 


48 


86 


2-445 


40 


72 


44 


lOO 


2-743 


24 


28 


32 


100 


3.055 


28 


44 


48 


100 


2.450 


28 


64 


56 


100 


2-750 


40 


64 


44 


100 


3.055 


24 


44 


56 


100 


2.456 


44 


86 


48 


100 


2.778 


32 


64 


40 


72 


3-036 


32 


64 


44 


72 


2.481 


32 


72 


48 


86 


2.778 


24 


48 


40 


72 


3-056 


28 


56 


44 


72 


2.4S1 


24 


72 


64 


86 


2.778 


40 


56 


28 


72 


3-056 


24 


48 


44 


72 


2.4S9 


32 


72 


56 


100 


2.791 


28 


56 


48 


86 


3.070 


24 


40 


44 


86 


2.4S9 


28 


72 


64 


100 


2.791 


32 


64 


48 


86 


3-080 


28 


40 


44 


100 



156 



BROWN & SHARPE MFG. CO. 

Table of Leads, 3,086" to 3.896". 





DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




1 

DRIVEN 


DRIVER 


DRIVEN 


DRIVER 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


16TGEAR 
ON 
STUD 


2NDGEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


ISTGEAR 
ON 
STUD 


2NDGEAR 
ON 
STUD 


GEAR 

ON 

SCREW 


LEAD IN 
INCHES 


GEAR 

ON 

WORM 


ISI GEAR 
ON 
STUD 


2''0GEAR 

ON 

STUD 


GEAR 

ON 
SCREW 


3.086 


M 


56 


72 


100 


3-349 


48 


40 


24 


86 


3 


637 


48 


44 


24 


72 


3.IOI 


40 


72 


48 


86 


3-360 


56 


40 


24 


100 


3 


646 


40 


48 


28 


64 


3.IOI 


32 


48 


40 


86 


3-360 


48 


40 


28 


100 


3 


655 


40 


56 


44 


86 


3.III 


28 


40 


32 


72 


3-383 


32 


44 


40 


86 


3 


657 


64 


56 


32 


100 


3-III 


40 


72 


56 


100 


3-403 


28 


64 


56 


72 


3 


663 


72 


64 


28 


86 


3-117 


24 


44 


32 


56 


3-409 


24 


44 


40 


64 


3 


.667 


40 


48 


44 


100 


3-125 


28 


56 


40 


64 


3-411 


32 


48 


44 


86 


3 


667 


44 


40 


24 


72 


3-125 


24 


48 


40 


64 


3-411 


44 


72 


48 


86 


3 


.673 


24 


28 


24 


56 


3.126 


48 


86 


56 


100 


3-422 


44 


72 


56 


100 


3 


.684 


44 


86 


72 


100 


3.140 


24 


86 


72 


64 


3-428 


24 


40 


32 


56 


3 


686 


86 


56 


24 


100 


3-143 


40 


56 


44 


100 


3-429 


40 


28 


24 


100 


3 


704 


32 


48 


40 


72 


3-150 


28 


100 


72 


64 


3-429 


40 


56 


48 


100 


3 


721 


24 


24 


32 


sa 


3-175 


32 


56 


40 


72 


3-438 


24 


48 


44 


64 


3 


721 


64 


48 


24 


86 


3-182 


28 


44 


32 


64 


3-438 


28 


56 


44 


64 


3 


721 


64 


56 


28 


86 


3.1S2 


24 


44 


28 


48 


3-488 


40 


64 


48 


86 


3 


733 


48 


72 


56 


100 


3-189 


32 


56 


48 


86 


3-488 


40 


32 


24 


86 


3 


733 


56 


48 


32 


100 


3-189 


24 


28 


32 


86 


3-491 


64 


44 


24 


100 


3 


733 


64 


48 


28 


100 


3.190 


24 


86 


64 


56 


3-491 


48 


44 


32 


100 


3 


733 


28 


24 


32 


100 


3-198 


40 


64 


44 


86 


3-492 


32 


56 


44 


72 


3 


750 


24 


32 


24 


48 


3.200 


28 


100 


64 


56 


3-500 


40 


64 


56 


100 


3 


750 


24 


32 


28 


56 


3.200 


24 


100 


64 


48 


3-500 


28 


32 


40 


100 


3 


750 


28 


56 


48 


64 


3.200 


24 


24 


32 


100 


3.500 


28 


40 


32 


64 


3 


763 


86 


64 


28 


100 


3-214 


24 


56 


48 


64 


3.500 


24 


40 


28 


48 


3 


771 


44 


56 


48 


100 


3-214 


24 


32 


24 


56 


3-520 


32 


40 


44 


100 


3 


772 


24 


28 


44 


100 


3-214 


24 


28 


24 


64 


3-535 


28 


44 


40 


72 


3 


799 


56 


48 


28 


85 


3-225 


24 


100 


86 


64 


3-552 


56 


44 


24 


86 


3 


809 


24 


28 


32 


72 


3-241 


28 


48 


40 


72 


3.552 


48 


44 


28 


86 


3 


810 


64 


56 


24 


72 


3-Z56 


24 


24 


28 


86 


3-556 


40 


72 


64 


100 


3 


810 


32 


56 


48 


72 


3-256 


24 


86 


56 


48 


3-564 


56 


44 


28 


100 


3 


818 


24 


40 


28 


44 


3-256 


32 


64 


56 


86 


3-565 


28 


48 


44 


72 


3 


819 


40 


64 


44 


72 


3-267 


28 


48 


56 


100 


3-571 


24 


48 


40 


56 


3 


822 


86 


72 


32 


100 


3-273 


24 


40 


24 


44 


3-571 


32 


56 


40 


64 


3 


837 


24 


32 


44 


86 


3-275 


44 


86 


64 


100 


3-572 


48 


86 


64 


100 


3 


837 


44 


64 


48 


86 


3-281 


24 


32 


28 


64 


3-582 


44 


40 


28 


86 


3 


840 


64 


40 


24 


100 


3-300 


44 


64 


48 


100 


3-588 


72 


56 


24 


86 


3 


840 


32 


40 


48 


100 


3-300 


44 


32 


24 


100 


3.600 


72 


48 


24 


100 


3 


850 


44 


64 


56 


100 


3.308 


32 


72 


64 


86 


3.600 


72 


64 


32 


100 


3 


850 


28 


32 


44 


100 


3-333 


32 


64 


48 


72 


3.600 


72 


56 


28 


100 


3 


876 


24 


72 


100 


86 


3.333 


28 


56 


48 


72 


3.600 


48 


32 


24 


100 


3 


8S9 


32 


64 


56 


72 


3.333 


28 


48 


32 


56 


3.618 


56 


72 


40 


86 


3 


889 


56 


48 


24 


72 


3-345 


28 


100 


86 


72 


3-636 


24 


44 


32 


48 


3 


8S9 


24 


24 


28 


72 


3.349 


40 


86 


72 


100 


3.636 


28 


44 


32 


56 


3 


896 


24 


44 


40 


56 



BROWN & SHARPE MFG. CO, 

Table of Leads, 3.907" to 4.778". 



'57 





DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


in GEAR 
ON 
STUD 


aUPGEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


151 GEAR 
ON 
STUD 


2NPGEAR 
ON 
STUD 


GEAR 

ON 

SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


I"GEAR 
ON 
STUD 


jnogear 

ON 
STUD 


GEAR 

ON 
SCREW 


3-907 


28 


40 


48 


86 


4.200 


48 


64 


.56 


100 


4.480 


56 


40 


82 


100 


3-907 


56 


40 


24 


86 


4.200 


56 


32 


24 


100 


4.480 


64 


.40 


28 


100 


3-911 


44 


72 


64 


100 


4.200 


28 


32 


48 


.100 


4-500 


72 


64 


40 


lOO 


3.920 


28 


40 


56 


100 


4.200 


72 


48 


28 


100 


4-500 


48 


40 


24 


64 


3-927 


72 


44 


24 


100 


4-242 


28 


44 


32 


48 


4-500 


24 


32 


24 


40 


3-929 


32 


56 


44 


64 


4-242 


28 


44 


48 


72 


4-522 


100 


72 


28 


86 


3-929 


24 


48 


44 


56 












4-537 


56 


48 


28 


72 


3-977 


28 


44 


40 


64 


4.242 


24 


44 


56 


72 


4-545 


24 


44 


40 


48 


3-979 


44' 


72 


5" 


86 


4-253 


64 


56 


32 


86 


4-546 


28 


44 


40 


56 


3-987 


24 


28 


40 


86' 


4.264 


40 


48 


44 


86 


4-546 


32 


44 


40 


64 


3-987 


40 


56 


48 


86 


4.267 


64 


48 


32 


100 


4-548 


44 


72 


64 


86 


4.000 


24 


40 


32 


48 


4-267 


48 


72 


64 


.100 


4-558 


56 


40 


28 


86 


4.000 


28 


40 


32 


56 


4.278 


28 


40 


44 


72 


4-567 


72 


44 


24 


86 


4.000 


24 


24 


40 


roo 


4.286 


24 


28 


24 


48 


4-572 


40 


56 


64 


100 


4.000 


24 


- 40 


48 


72 


4.286 


24 


28 


32 


64 


4-572 


32 


28 


40 


100 


4.011 


28 


48 


44. 


64 


4.286 


32 


56 


48 


64 


4-582 


72 


44 


28 


100 


4.019 


72 


86 


48 


100 


4.300 


86 


56 


28 


100 


4-583 


44 


64 


48 


72 


4.040 


32 


44 


40 


72 


4.300 


86 


64 


32 


100 


4-583 


44 


32 


24 


72 


4-059 


32 


44 


48 


86 


4-300 


86 


48 


24 


100 


4-584 


32 


48 


44 


64 


4.060 


64 


44 


24 


86 


4-320 


72 


40 


24 


100 


4-584 


28 


48 


44 


56 


4.070 


28 


32 


40 


86 


4-341 


48 


72 


56 


86 


4.651 


40 


24 


24 


86 


4.070 


40 


64 


56 


86 


4-341 


56 


48 


32 


86 


4-655 


64 


44 


32 


100 


4-073 


64 


44 


28 


100 


4-342 


64 


48 


28 


86 


4.667 


iS 


40 


32 


48 


4.073 


56 


44 


32 


100 


4-342 


28 


24 


32 


86 


4.667 


40 


24 


28 


.100 


4.074 


32 


48 


44 


72 


4.361 


loo 


64 


24 


86 


4.667 


56 


40 


24 


72 


4.091 


24 


44 


48 


64 


4-363 


24 


40 


32 


44 


4.667 


48 


40 


28 


72 


4.091 


24 


32 


24 


44 


4-364 


40 


44 


48 


100 


4.667 


40 


48 


56 


100 


4-093 


32 


40 


44 


86 


4-365 


40 


56 


44 


■72 


4-675 


24 


28 


24 


44 


4.114 


48 


28 


24 


100 


4-375 


24 


24 


28 


64 


4-675 


48 


44 


24 


56 


4.114 


72 


56 


32 


100 


4-375 


24 


32 


28 


48 


4.687 


40 


32 


24 


64 


4-125 


24 


40 


44 


64 


4-375 


56 


48 


24 


64 


4.6S8 


56 


86 


7^ 


100 


4-135 


40 


72 


64 


86 


4.386 


24 


28 


44 


86 


4.691 


86 


44 


24 


100 


4.144 


56 


44 


28 


86 


4-386 


44 


56 


48 


86 


4-714 


44 


40 


24 


56 


4.167 


■28 


48 


40 


56 


4.400 


24 


24 


44 


100 


4.736 


64 


44 


28 


86 


4.167 


40 


64 


48 


72 


4.444 


64 


56 


28 


72 


4-736 


56 


44 


32 


86 


4.167 


32 


48 


40 


64 


4.444 


24 


24 


32 


72 


4-762 


40 


28 


24 


72 


4.167 


24 


32 


40 


72 


4-444 


64 


48 


24 


72 


4-762 


40 


48 


32 


56 


4.167 


5& 


86 


64 


100 


4-465 


64 


40 


24 


86 


4-762 


40 


56 


48 


72 


4.1S6 


72 


64 


32 


86 


4.466 


48 


40 


32 


86 


4-773 


24 


32 


28 


44 


4.186 


48 


32 


24 


86 


4.477 


44 


32 


28 


86 


4-773 


56 


44 


24 


64 


4.1S6 


•72 


48 


24 


86 


4-477 


56 


64 


44 


86 


4-773 


48 


44 


28 


64 


4.186 


72 


56 


28 


86 


4-479 


86 


64 


24 


72 


4-778 


86 


72 


40 


100 



I5S 



BROWN & SHARPE MFG. CO. 

Table of Leads, 4.784'' to 5.733^ 





DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


IS' GEAR 
ON 
STUD 


2NDGEAR 

ON 

STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


1ST GEAR 

ON 

STUD 


2'<0GeAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


1STGEAR 

ON 

STUD 


2NDGEAR 

ON 

STUD 


GEAR 

ON 
SCREW 


4.784 


72 


56 


32 


86 


5. 116 


44 


24 


24 


86 


5-358 


64 


86 


72 


100 


4.785 


48 


28 


24 


86 


5-119 


86 


56 


24 


72 


5.375 


86 


64 


40 


100 


4.800 


48 


24 


24 


100 


5.120 


64 


40 


32 


100 


5.400 


72 


32 


24 


100 


4.800 


56 


28 


24 


100 


5-133 


56 


48 


44 


100 


5.400 


72 


64 


48 


100 


4.800 


64 


32 


24 


100 


5-134 


44 


24 


28 


100 


5.413 


64 


44 


32 


86 


4.800 


72 


48 


32 


100 


5.142 


72 


56 


40 


100 


5.426 


40 


24 


28 


86 


4.813 


44 


40 


28 


64 


5-143 


24 


28 


24 


40 


5.427 


40 


48 


56 


86 


4.S2I 


72 


56 


24 


64 


5-143 


24 


40 


48 


5& 


5.444 


56 


40 


28 


72 


4.849 


32 


44 


48 


72 


5-156 


44 


32 


24 


64 


5 455 


48 


AA 


28 


56 


4.849 


64 


44 


24 


72 


5-160 


86 


40 


24 


100 


5.455 


32 


44 


48 


64 


4.861 


40 


32 


28 


72 


5.168 


100 


72 


32 


86 


5.469 


40 


32 


28 


54 


4.861 


56 


64 


40 


72 


5-185 


28 


24 


32 


72 


5-473 


86 


44 


28 


100 


4.884 


48 


64 


56 


86 


5.186 


64 


48 


28 


72 


5.4S6 


64 


28 


24 


100 


4.884 


72 


48 


28 


86 


5-186 


56 


48 


32 


72 


5.486 


48 


28 


32 


100 


4.884 


48 


32 


28 


86 


5-195 


32 


44 


40 


56 


5.486 


48 


56 


64 


100 


4.884 


56 


32 


24 


86 


5.209 


100 


64 


24 


72 


5.500 


44 


40 


24 


48 


4=889 


; 32 


40 


44 


72 


5.210 


64 


40 


28 


86 


5.500 


44 


40 


32 


64 


4.898 


' 24 


28 


32 


56 


5.2:0 


56 


40 


32 


86 


5500 


40 


32 


44 


100 


4.900 


56 


32 


28 


100 . 


5.226 


86 


64 


28 


72 


5.500 


44 


40 


28 


56 


4.9II 


40 


56 


44 


64 


5.233 


72 


64 


40 


86 


5.556 


40 


24 


24 


72 


4.914 


86 


56 


32 


100 


5.236 


72 


44 


32 


100 


5.56S 


56 


44 


28 


64 


4-950 


56 


44 


28 


72 


5.238 


44 


28 


24 


72 


5.581 


64 


32 


24 


86 


4-95° 


72 


64 


44 


100 


5.238 


32 


48 


44 


56 


5.581 


56 


28 


24 


86 


4.961 


64 


48 


32 


86 


5-238 


44 


56 


48 


72 


5.581 


72 


48 


32 


86 


4.961 


64 


72 


48 


86 


5-250 


24 


32 


28 


40 


5.582 


48 


24 


24 


86 


4.978 


56 


72 


64 


100 


5.250 


56 


40 


24 


64 


5.600 


56 


24 


24 


100 


4.984 


100 


56 


24 


86 


5.250 


48 


40 


28 


64 


5.600 


48 


24 


28 


100 


5.000 


24 


24 


28 


56 


5.256 


86 


72 


44 


100 


5.600 


64 


32 


28 


100 


5,000 


24 


24 


32 . 


64 


5.280 


48. 


40 


44 


100 


5.625 


48 


32 


24 


64 


5.000 


48 


32 


24 


72 


5-303 


28 


44 


40 


■ 48 


5.625 


72 


48 


24 


64 


5-017 


86 


48 


28 


100 


5.316 


40 


28 


32 


86 


5.625 


72 


56 


28 


64 


5-023 


72 


40 


24 


86 


5-316 


40 


56 


64 


86 


5.657 


56 


44 


32 


72 


5.029 


44 


28 


32 


100 


5-328 


72 


44 


28 


86 


5.657 


72 


56 


44 


100 


5.029 


64 


56 


44 


100 


5-333 


40 


24 


32 


100 


5.657 


64 


44 


28 


72 


5-040 


72 


40 


28 


100 


5-333 


64 


40 


34 


72 


5.698 


56 


32 


28 


86 


5-074 


40 


44 


48 


86 


5.333 


32 


40 


48 


72 


5-714 


48 


28 


24 


72 


5.080 


64 


56 


32 


72 


5-333 


40 


48 


64 


100 


5-714 


24 


28 


32 


48 


5-088 


100 


64 


28 


86 


5.347 


44 


64 


56 


72 


5-714 


24 


24 


32 


56 


5.091 


56 


44 


40 


100 


5.348 


44 


32 


28 


72. 


5-714 


64 


48 


24 


56 


5-091 


28 


40 


32 


44 


5-357 


40 


28 


24 


64 


5-730 


40 


48 


44 


64 


5-093 


40 


48 


44 


72 


5-357 


40 


32 


24 


56 


5-733 


86 


48 


32 


100 


5-105 


28 


48 


56 


64 


5-357 


40 


56 


48 


64 


5-733 


86 


72 


48 


100 



BROWN & SIIARPE MFG. CO. 1 59 

Table of Leads, 5,756 to 6.757". 





DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


1STGEAR 
ON 
STUD 


aNBGEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


IsroEAR 
ON 
STUD 


2NI1GEAR 

ON 

STUD 


GEAR 

ON 

SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


I8IGEAR 

ON 
STUD 


2NIJGEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


5-75fe 


72 


64 


44 


86 


6.0S9 


72 


44 


32 


86 


6.417 


44 


40 


28 


48 


5-759 


86 


56 


24 


64 


6.109 


56 


44 


48 


100 


6.429 


24 


28 


24 


32 


5.760 


72 


40 


32 


100 


6. 112 


24 


24 


44 


72 


6.429 


48 


?8 


24 


64 


5-758 


64 


72 


56 


86 


6.122 


40 


28 


24 


56 


6.429 


48 


32 


24 


56 


5.S14 


100 


64 


32 


86 


6.125 


56 


40 


28 


64 


6.429 


72 


48 


24 


56 


5.814 


100 


56 


28 


86 


6.137 


72 


44 


24 


64 


6.429 


72 


56 


32 


64 


5.814 


100 


48 


24 


86 


6.140 


48 


40 


44 


86 


6.450 


86 


64 


48 


100 


5.818 


64 


44 


40 


100 


6.143 


86 


56 


40 


100 


6.450 


86 


32 


24 


100 


5-833 


28 


24 


24 


48 


6.160 


56 


40 


44 


100 


6.460 


100 


72 


40 


86 


5-S33 


32 


24 


23 


64 






~ 






6.465 


64 


44 


32 


72 


5.833 


56 


. 32 


24 


72 


6. 171 


72 


56 


48 


roo 


6.482 


56 


48 


40 


72 


5.833 


48 


32 


28 


72 


6.172 


72 


28 


24 


100 


6.482 


40 


24 


28 


72 


5.833 


56 


48 


32 


64 


6.202 


40 


24 


32 


86 


6.512 


56 


24 


24 


86 


5.833 


56 


64 


48 


72 


6.202 


64 


48 


40 


86 


6.512 


64 


32 


28 


86 


5-847 


64 


56 


44 


86 


6.222 


64 


40 


28 


72 


6.512 


48 


24 


28 


86 


5.848 


44 ■ 


28 


32 


86 


6.222 


56 


40 


32 


72 


6.515 


86 


44 


24 


72 


5.861 


72 


40 


28 


86 


6.234 


32 


28 


24 


44 


6-534 


56 


24 


28 


100 


5.867 


44 


24 


32 


100 


6.234 


64 


44 


24 


56 


6.545 


48 


40 


24 


44 


5.867 


64 


48 


44 


100 


6.234 


48 


44 


32 


56 


6.545 


72 


44 


40 


100 


5-893 


44 


32 


24 


56 


6.250 


24 


24 


40 


64 


6.548 


44 


48 


40 


56 


5-893 


44 


28 


24 


64 


6.250 


40 


32 


24 


48 


6.563 


56 


32 


24 


64 


5.893 


48 


56 


44 


64 


6.250 


40 


32 


28 


56 


6.563 


72 


48 


28 


64 


5.912 


86 


64 


44 


100 


6.255 


86 


44 


32 


100 


6.563 


48 


32 


28 


64 


5.920 


56 


44 


40 


86 


6.279 


72 


64 


48 


86 


6.57S 


72 


56 


44 


86 


5-926 


64 


48 


32 


72 


6.279 


72 


32 


24 


86 


6.600 


48 


32 


44 


100 


5-952 


100 


56 


24 


72 


6.286 


44 


40 


32 


56 


6.600 


72 


48 


44 


100 


5-954 


64 


40 


32 


86 


6.286 


44 


28 


40 


100 


6.645 


!00 


56 


32 


86 


5-969 


44 


24 


28 


86 


6.300 


72 


32 


28 


100 


6.667 


64 


48 


28 


56 


5-969 


56 


48 


44 


86 


6.300 


72 


64 


56 


100 


6.667 


32 


24 


28 


56 


5-972 


86 


48 


24 


72 


6-343 


100 


44 


24 


86 


6.667 


32 


24 


24 


48 


5-972 


86 


56 


28 - 


72 


6-350 


40 


28 


32 


72 


6.667 


48 


24 


24 


72 


5.972 


86 


64 


32 


72 


6350 


64 


56 


40 


72 


6.667 


56 


28 


24 


72 


5.980 


72 


56 


40 


86 


6.364 


56 


44 


24 


48 


6.667 


64 


32 


24 


72 


6.000 


48 


40 


28 


56 


6.364 


56 


44 


32 


64 


6.689 


86 


72 


56 


100 


6.000 


48 


40 


32 


64 


6.364 


24 


24 


28 


44 


6.697 


100 


56 


24 


64 


6.000 


48 


32 


40 


100 


6.379 


64 


28 


24 


86 


6.69S 


72 


40 


32 


86 


6.000 


72 


48 


40 


100 


6.379 


48 


28 


32 


86 


6.719 


86 


48 


24 


64 


6.oi5 


44 


32 


28 


64 


6-379 


64 


56 


48 


86 


6.719 


86 


56 


28 


64 


5.020 


86 


40 


28 


100 


6.396 


44 


32 


40 


86 


6.720 


56 


40 


48 


100 


6.061 


40 


44 


32 


48 


6.400 


64 


24 


24 


100 


6.735 


44 


28 


24 


56 


6.061 


48 


44 


40 


72 


6.400 


48 


24 


32 


100 


6-750 


72 


40 


24 


64 


6.077 


100 


64 


28 


72 


6.400 


56 


2S 


32 


100 


6.757 


86 


56 


44 


100 



i6o 



BROWN & SHARPE MFG. CO. 

Table of Leads, 6.766" to 7.883^ 





DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


ISTgEAR 

ON 
STUD 


JN^GEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


l"GEAR 
ON 
STUD 


>NDGEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


1"GEAR 

ON 
STUD 


SKOQEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


6.766 


64 


44 


40 


86 


7-159 


72 


44 


28 


64 


7-525 


86 


32 


28 


100 


6.784 


100 


48 


28 


86 


7-163 


56 


40 


44 


86 


7-525 


86 


64 


56 


100 


6.806 


56 


32 


28 


72 


7.167 


86 


40 


24 


72 


7-543 


48 


28 


44 


100 


6.818 


40 


32 


24 


44 


7.167 


86 


48 


40 


100 


7-576 


100 


44 


24 


72 


6.818 


48 


44 


40 


64 


7.176 


72 


28 


24 


86 


7-597 


56 


24 


28 


86 


6.822 


44 


24 


32 


86 


7.176 


72 


56 


48 


86 


7.601 


86 


44 


28 


72 


6.822 


64 


48 


44 


86 


7.200 


72 


24 


24 


100 


7.611 


72 


44 


40 


86 


6.825 


86 


56 


32 


72 


7.268 


100 


64 


40 


86 


7.619 


64 


48 


32 


56 


6.857 


32 


28 


24 


40 


7-272 


64 


44 


28 


56 


7.619 


64 


55 


48 


72 


6.857 


64 


40 


24 


56 


7-273 


32 


24 


24 


44 


7.620 


64 


28 


24 


72 


6.857 


48 


40 


32 


56 


7-273 


64 


44 


24 


48 


7.620 


48 


28 


32 


72 


6.857 


48 


28 


40 


100 


7.292 


56 


48 


40 


64 


7-636 


56 


40 


24 


44 


6.875 


44 


24 


24 


64 


7-292 


40 


32 


28 


48 


7.636 


48 


40 


28 


44 


6.875 


44 


32 


24 


48 


7.292 


40 


24 


28 


64 


7-639 


44 


32 


40 


72 


6.875 


44 


32 


28 


56 


7-310' 


44 


28 


40 


86 


7-644 


86 


72 


64 


100 


6.880 


86 


40 


32 


100 


7-314 


64 


28 


32 


100 


7-657 


56 


32 


28 


64 


6.944 


100 


48 


24 


72 


7-326 


72 


32 


28 


86 


7.674 


72 


48 


44 


86 


6.944 


100 


64 


32 


72 


7.326 


72 


64 


56 


86 


7-675^ 


48 


32 


44 


86 


6.945 


100 


56 


28 


72 


7-330 


86 


44 


24 


64 


7-679 


86 


48 


24 


56 


6.968 


86 


48 


28 


72 


7-333 


44 


24 


40 


100 


7.679 


86 


56 


32 


64 


6.977 


48 


32 


40 


86 


7-333 


48 


40 


44 


72 


7.680 


64 


40 


48 


100 


6.977 


100 


40 


24 


86 


7-334 


44 


40 


32 


. 48 


7.700 


56 


32 


44 


100 


6.977 


72 


48 


40 


86 


7-347 


48 


28 


24 


56 


7-714 


72 


40 


24 


56 


6.982 


64 


44 


48 


100 


7-371 


86 


56 


48 


100 


7-752 


100 


48 


32 


86 


6.984 


44 


28 


32 


72 


7-372 


86 


28 


24 


100 


7-752 


100 


72 


48 


86 


6.984 


64 


56 


44 


72 


7.400 


100 


44 


28 


86 


7-778 


32 


24 


28 


48 


7.000 


28 


24 


24 


40 


7.408 


40 


24 


32 


72 


7.778 


56 


24 


24 


72 


7.000 


56 


40 


24 


48 


7.408 


64 


48 


40 


72 


7-77S 


48 


24 


28 


72 


7.000 


56 


40 


32 


64 


7.424 


56 


44 


28 


48 


7.778 


64 


32 


28 


72 


7.000 


56 


32 


40 


100 


7-442 


64 


24 


24 


86 


7.792 


40 


28 


24 


44 


7.013 


72 


44 


24 


56 


7-442 


48 


24 


32 


86 


7.792 


48 


44 


40 


56 


7.040 


64 


40 


44 


100 


7.442 


56 


28 


32 


86 


7-813 


100 


48 


24 


64 


7.071 


56 


44 


40 


72 


7-465 


86 


64 


40 


72 


7-813 


100 


56 


28 


64 












7-467 


64 


24 


28 


100 


7-^15 


56 


40 


48 


86 


7.104 


56 


44 


48 


86 










' 


7.S18 


86 


44 


40 


100 


7.106 


100 


72 


44 


86 


7-467 


56 


24 


32 


100 


7.838 


86 


48 


28 


64 


7.II1 


64 


40 


32 


72 


7.467 


64 


48. 


56 


100 


7-855 


72 


44 


48 


100 


7.130 


44 


24 


28 


72 


7.500 


48 


24 


24 


64 


7-857 


44 


24 


24 


56 


7.130 


56 


48 


44 


72 


7.500 


56 


28 


24 


64 


7-857 


44 


28 


24 


48 


7-143 


40 


28 


32 


64 


7.500 


48 


32 


28 


56 


7.872 


44 


28 


32 


64 


7-143 


40 


28 


24 


48 


7.500 


72 


48 


28 


56, 


7-S75 


72 


40 


28 


64 


7-143 


40 


24 


24 


56 


7.500 


72 


48 


32 


64 


7-883 


86 


48 


44 


100 



BROWN & SHARPE MFG. CO. 



i6i 



Table of Leads, 7.920" to 9.302". 





DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


IsroEAR 
ON 
STUD 


ZNOGEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


6TGEAR 
ON 
STUD 


'NOGEAR 
ON 
STUD 


GEAR 

ON 

SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


"GEAR 

ON 
STUD 


ZNOGEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


7.920 


72 


40 


44 


100 


S-333 


48 


32 


40 


72 


8.772 


48 


28 


44 


85 


7-936 


100 


56 


2,2 


72 


8-333 


100 


40 


24 


72 


S.800 


48 


24 


44 


100 


7-954 


40 


32 


28 


44 


S.334 


40 


24 


28 


36 


8.800 


64 


32 


44 


100 


7-955 


56 


44 


40 


64 


8.361 


86 


40 


28 


72 


8.800 


56 


28 


44 


100 


7-963 


86 


48 


32 


72 


8.372 


72 


24 


24 


86 


8.83S 


100 


44 


28 


72 


7-974 


48 


28 


40 


86 


S.377 


86 


44 


24 


56 


8-839 


72 


36 


44 


64 


7-994 


100 


64 


44 


86 


8.400 


72 


24 


28 


100 


S.S89 


64 


24 


24 


72 


8.000 


64 


32 


40 


100 


8.400 


56 


32 


48 


100 


8.889 


56 


28 


32 


72 


S.ooo 


32 


24 


24 


40 


8.400 


72 


48 


56 


100 


S.889 


48 


24 


32 


72 


S.ooo 


64 


40 


24 


48 


S.437 


72 


32 


24 


64 


8.909 


56 


40 


28 


44 


S.ooo 


64 


40 


28 


56 


S-457 


100 


44 


32 


86 


8.929 


100 


48 


24 


56 


S.ooo 


56 


28 


40 


100 


8.4S4 


32 


24 


28 


44 


8.929 


100 


56 


32 


64 


S.ooo 


48 


24 


40 


lOO 


8.485 


64 


44 


28 


48 


8.930 


64 


40 


48 


86 


S.021 


44 


32 


28 


48 


8.485 


56 


44 


32 


48 


8-953 


56 


32 


44 


86 


8.021 


44 


24 


2S 


64 


S.4S5 


56 


44 


48 


72 


8.959 


86 


48 


28 


56 


S.021 


36 


48 


44 


64 


8.506 


64 


28 


32 


86 


8-959 


86 


32 


24 


72 


i=-035 


72 


56 


40 


64 


S-523 


100 


44 


24 


64 


8-959 


86 


64 


48 


72 


8.063 


86 


40 


24 


64 


8-527 


44 


24 


40 


86 


8-959 


86 


■48 


28 


56 


S.oSi 


64 


44 


40 


72 


8-532 


86 


56 


40 


72 


8.960 


64 


40 


56 


100 


8.102 


100 


48 


28 


72 


8-534 


64 


24 


32 


100 


8.980 


44 


28 


32 


56 


8.119 


64 


44 


48 


86 


S.552 


S6 


44 


28 


64 


9.000 


48 


32 


24 


40 


8.140 


56 


32 


40 


86 


8.556 


56 


40 


44 


72 


9.000 


72 


40 


24 


48 


S.140 


100 


40 


28 


86 


8-572 


64 


32 


24 


36 


9.000 


72 


40 


28 


56 


S.145 


64 


44 


56 


100 


S.572 


48 


28 


32 


64 


9.000 


72 


40 


32 


64 


8.14S 


64 


48 


44 


72 


8-572 


48 


24 


24 


36 


9.000 


72 


32 


40 


100 


8.149 


44 


24 


32 


72 


8-572 


73 


48 


32 


36 


9.044 


100 


72 


56 


86 


8. 163 


40 


28 


32 


56 


8-594 


44 


32 


40 


64 


9.074 


56 


24 


28 


72 


8.167 


56 


40 


28 


48 


S.600 


86 


24 


24 


100 


9.091 


40 


24 


24 


44 


8.182 


48 


32 


24 


44 


8.640 


72 


40 


48 


100 


9-II5 


100 


48 


28 


64 


S.182 


72 


44 


24 


48 


8.68: 


100 


64 


40 


72 


9-134 


72 


44 


48 


86 


8.1S2 


72 


44 


28 


56' 


8.682 


64 


24 


28 


86 


9-137 


100 


56 


44 


86 


S.182 


72 


44 


32 


64 


8.682 


56 


24 


32 


86 


9-143 


64 


40 


32 


56 


S.1S6 


64 


40 


44 


86 


8.6S2 


64 


48 


56 


86 


9-143 


64 


28 


40 


100 


8.212 


86 


64 


44 


72 


S.6S7 


86 


44 


32 


72 


9.164 


72 


44 


36 


100 


8.229 


72 


28 


32 


100 


8.721 


100 


32 


24 


86 


9.167 


44 


24 


24 


48 


8.229 


72 


56 


64 


100 


8.721 


100 


64 


48 


86 


9.167 


44 


24 


28 


56 


S.250 


44 


32 


24 


40 


8-727 


48 


40 


32 


44 


9.167 


44 


24 


32 


64 


8.250 


48 


40 


44 


64 


8.730 


44 


28 


40 


72 


9.167 


48 


32 


44 


72 


S.306 


100 


56 


40 


86 


8.750 


28 


24 


24 


32 


9.210 


72 


40 


44 


86 


8.312 


64 


44 


32 


56 


8.750 


56 


32 


24 


48 


'9.214 


86 


40 


24- 


56 


8-333 


40 


24 


24 


48 


8.750 


56 


24 


24 


64 


9.260 


100 


48 


32 


72 


8.333 


40 


24 


32 


64 


S.750 


48 


24 


28 


64 


9.302 


48 


24 


40 


86 



l62 



BROWN & SHARPE MFG. CO. 



Table of Leads, 9303'' to WAIT, 





DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRJVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


ISIGEAR 
ON 
STUD 


ZXDGEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


15TGEAR 
ON 
STUD 


2NDGEA.R 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


1ST GEAR 
ON 
STUD 


2NDGEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


9-303 


56 


28 


40 


86 


9-675 


86 


64 


72 


100 


lO.IOI 


100 


44 


32 


72 


9-303 


64 


32 


40 


86 


9.690 


100 


48 


40 


86 


10.159 


64 


28 


32 


72 


9-303 


100 


40 


32 


86 


9.697 


64 


48 


32 


44 


10.175 


100 


32 


28 


86 


9-333 


64 


40 


28 


48 


9.697 


64 


44 


48 


72 


10.175 


100 


64 


56 


86 


9-333 


56 


40 


32 


48 


9-723 


40 


24 


28 


48 


10.182 


64 


40 


28 


44 


9-333 


56 


24 


40 


100 


9-723 


56 


32 


40 


72 


IO.1S2 


56 


40 


32 


44 


9-333 


56 


40 


48 


72 


9-723 


100 


40 


28 


72 


IO.I86 


44 


24 


40 


72 


9-334 


32 


24 


28 


40 


9-741 


100 


44 


24 


56 


10.209 


56 


24 


28 


64 


9-351 


48 


28 


24 


44 


9.768 


72 


48 


56 


86 


10.209 


56 


32 


28 


48 


9-351 


72 


44 


32 


56 


9.768 


56 


32 


48 


86 


10.228 


72 


44 


40 


64 


9-375 


48 


32 


40 


64 


9,768 


72 


24 


28 


86 


10.233 


48 


24 


44 


86 


9-375 


100 


40 


24 


64 


9-773 


86 


44 


24 


•48 


10.233 


56 


28 


44 


86 


9-375 


72 


48 


40 


64 


9-773 


86 


44 


28 


56 


10.233 


64 


32 


44 


86 


9.3S2 


86 


44 


48 


100 


9-773 


86 


44 


32 


64 


10.238 


86 


28 


24 


72 


9-385 


86 


56 


44 


72 


9.778 


64 


40 


44 


72 


10.238 


86 


48 


32 


56 


9.406 


86 


40 


28 


64 


9.796 


64 


28 


24 


56 


10.238 


86 


56 


48 


72 


9.428 


44 


28 


24 


40 


9.796 


■48 


28 


32 


56 


10.267 


56 


24 


44 


lOO 


9.429 


48 


40 


44 


56 


9.S18 


72 


40 


24 


44 


10.286 


48 


28 


24 


40 


9.460 


86 


40 


44 


100 


9.822 


44 


32 


40 


56 


10.286 


72 


40 


32 


56 


9.472 


64 


44 


56 


86 


9.822 


44 


28 


40 


64 


10.2S6 


72 


28 


40 


100 


9-524 


40 


28 


32 


48 


9.828 


86 


28 


32 


100 


10.312 


48 


32 


44 


64 


9-524 


40 


24 


32 


56 


9.828 


56 


56 


64 


100 


10.313 


72 


48 


44 


64 


9-524 


48 


28 


40 


72 


9.844 


72 


32 


28 


64 


10.320 


86 


40 


48 


100 


9-524 


64 


48 


40 


56 


9.900 


72 


32 


44 


100 


10.336 


100 


72 


64 


86 


9-545 


72 


44 


28 


48 


9.921 


100 


56 


40 


72 


10.370 


64 


24 


28 


72 


9-546 


56 


32 


24 


44 


9-923 


64 


24 


32 


86 


10.370 


56 


24 


32 


72 


9-546 


48 


32 


28 


44 


9-943 


100 


44 


28 


64 


10.371 


64 


48 


56 


72 


9-547 


56 


44 


48 


64 


9-954 


86 


48 


40 


72 


10.390 


40 


28 


32 


44 


9-549 


100 


64 


44 


72 


9.967 


100 


56 


48 


86 


10.390 


64 


44 


40 


56 


9-556 


86 


40 


32 


72 


9.968 


100 


28 


24 


86 


10.417 


100 


32 


24 


72 


9-569 


72 


28 


32 


86 


10.000 


56 


28 


24 


48 


10.417 


100 


48 


28 


56 


9-569 


72 


56 


64 


86 


10.000 


48 


24 


28 


56 


10.417 


100 


48 


32 


64 


9-598 


86 


56 


40 


64 


10.000 


64 


32 


24 


48 


10.417 


100 


64 


48 


72 


9.600 


72 


24 


32 


100 


10.000 


64 


32 


28 


56 


10.419 


64 


40 


56 


86 


9.600 


56 


28 


48 


100 


10.000 


56 


28 


32 


64 


10.451 


86 


32 


28 


72 


9.600 


64 


32 


48 


100 


10.000 


48 


24 


32 


64 


10.451 


86 


64 


56 


72 


9.600 


72 


48 


64 


100 


10.033 


86 


24 


28 


100 


10.467 


72 


32 


40 


86 


9-625 


44 


32 


28 


40 


10.033 


86 


48 


56 


100 


10.473 


72 


44 


64 


100 


9-625 


56 


40 


44 


64 


10.046 


72 


40 


48 


86 


10.476 


44 


24 


32 


56 


9-643 


72 


32 


24 


56 


10.057 


64 


28 


44 


100 


10.476 


44 


28 


32 


48 


9-643 


72 


28 


24 


64 


10.078 


86 


32 


24 


64 


10.477 


48 


28 


44 


72 


9-643 


72 


56 


48 


64 


10.080 


72 


40 


56 


100' 


10.477 


64 


48 


44 


56 



BROWN & SHARPE MFG. CO. 

Table of Leads, J0.500'' to J2.272''. 



163 





DRIVEN 


DRIVER 


DRIVEN 


DRreER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 


L^D IN 
INCHES 


GEAR 

ON 
WORM 


ISI GEAR 
ON 
STUD 


2NDGEAR 

ON 

STUD 


GEAR 

ON 

SCREW 


LEAD IN 
INCHES 


GEAR 

ON 

WORM 


18TGEAR 

ON 
STUD 


2"DGEAB 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


ISTGEAR 

ON 

STUD 


2N0GBAR 

ON 
STUD 


GEAR 

ON 
SCREW 


10.500 


56 


32 


24 


40 


11.111 


48 


24 


40 


72 


11.667 


64 


32 


28 


48 


10.500 


48 


32 


28 


40 


11.111 


56 


28 


40 


72 


11.667 


56 


32 


48 


72 


10.500 


72 


40 


28 


48 


11.111 


64 


32 


40 


72 


11.667 


56 


24 


32 


64 


10.500 


56 


40 


48 


64 


11.111 


100 


40 


32 


72 


11.688 


72 


44 


40 


56 


IO-55S 


86 


56 


44 


64 


"•137 


56 


32 


28 


44 


11.695 


64 


28 


44 


86 


10.571 


100 


44 


40 


86 


11.160 


100 


56 


40 


64 


11.719 


100 


32 


24 


64 


10.606 


56 


44 


40 


48 


11.163 


72 


24 


32 


86 


11.721 


72 


40 


56 


86 


10.606 


40 


24 


28 


44 


11.163 


56 


28 


48 


86 


11.728 


86 


40 


24 


44 


10.631 


6a 


23 


40 


86 


11.163 


72 


48 


64 


86 


"■733 


64 


24 


44 


100 


10.655 


72 


44 


56 


86 


11.163 


64 


32 


48 


86 


11-757 


86 


32 


28 


64 


10.659 


100 


48 


44 


86 


11.169 


86 


44 


32 


56 


11.785 


72 


48 


44 


56 


10.667 


64 


40 


48 


72 


II.I9S 


86 


48 


40 


64 


11.786 


44 


28 


24 


32 


10.667 


64 


24 


40 


100 


11.200 


56 


24 


48 


100 


11.7S6 


48 


32 


44 


56 


10.667 


64 


40 


32 


48 


11.200 


64 


32 


56 


100 


11.786 


48 


28 


44 


64 


10.694 


44 


24 


•28 


48 


11.225 


44 


28 


40 


56 


11-825 


86 


32 


44 


100 


10.694 


56 


32 


44 


72 


11.250 


72 


24 


24 


64 


11.852 


64 


24 


32 


72 


10.713 


40 


28 


24 


32 


11.250 


72 


32 


24 


48 


11.905 


100 


28 


24 


72 


10.714 


48 


32 


40 


56 


11.250 


72 


32 


28 


56 


11.905 


100 


48 


32 


56 


10.714 


48 


28 


40 


64 


1^-3^3 


64 


44 


56 


72 


11.905 


100 


56 


48 


72 


10.714 


100 


40 


24 


56 


II.3I4 


72 


28 


44 


100 


11-938 


56 


24 


44 


86 


10.714 


72 


43 


40 


56 


11-363 


100 


44 


24 


48 


11-944 


86 


24 


24 


72 


10.750 


86 


40 


24 


48 


11-363 


100 


44 


28 


56 


11.960 


72 


28 


40 


86 


10.750 


86 


40 


28 


56 


11-363 


TOO 


44 


32 


64 


12.000 


48 


24 


24 


40 


10.750 


86 


40 


32 


64 


II. 401 


86 


44 


28 


48 


12.000 


56 


28 


24 


40 


10.750 


86 


32 


40 


100 


11.429 


32 


24 


24 


28 


12.000 


64 


32 


24 


40 


10.800 


72 


32 


48 


100 


11.429 


64 


28 


24 


48 


12.000 


72 


40 


32 


48 


10.853 


56 


24 


40 


86 


11.429 


64 


24 


24 


56 


12.000 


72 


24 


40 


100 


10.859 


86 


44 


40 


72 


11.429 


48 


24 


32 


56 


12.031 


56 


32 


44 


64 


10.909 


72 


44 


32 


48 


11-454 


72 


40 


28 


44 


12.040 


86 


40 


56 


100 


10.909 


56 


28 


24 


44 


11-459 


44 


24 


40 


64 


12.121 


40 


24 


32 


44 


10.909 


48 


24 


24 


44 


11-459 


44 


32 


40 


48 


12.121 


64 


44 


40 


48 


10.909 


64 


32 


24 


44 


11.467 


86 


24 


32 


100 


12.153 


100 


32 


28 


72 


10.913 


100 


56 


44 


72 


11.467 


86 


48 


64 


100 


12-153 


100 


64 


56 


72 


10.937 


56 


32 


40 


64 


11.512 


72 


32 


44 


86 


12.178 


72 


44 


64 


86 


10.937 


100 


40 


28 


64 


11.518 


86 


28 


24 


64 


12.216 


85 


44 


40 


64 


10.945 


86 


44 


56 


100 


11.518 


86 


32 


24 


56 


12.222 


44 


24. 


32 


48 


10.949 


86 


48 


44 


72 


11.518 


86 


56 


48 


64 


12.222 


48 


24 


44 


72 


10.972 


64 


28 


48 


100 


11.520 


72 


40 


64 


100 


12.222 


56 


28 


44 


72 


11.000 


44 


24 


24 


40 


11-574 


100 


48 


40 


72 


12.222 


64 


32 


44 


72 


11.021 


72 


28 


24 


56 


11.629 


100 


24 


24 


86 


12.245 


48 


28 


40 


56 


11.057 


86 


55 


72 


100 


11.638 


64 


40 


32 


44 


12.250 


56 


32 


28 


40 


11.111 


40 


24 


32 


48 


11.667 


56 


24 


24 


48 


12.272 


72 


32 


24 


44 



164 



BROWN & SHARPE MFG. CO. 



Table of Leads, 12.27^ to J4,322^ 





DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 


LEAD IN 
INCHES 


GEAR 

ON 

WORM 


1ST GEAR 
ON 
STUD 


2N0GEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


1ST GEAR 
ON 
STUD 


2N0GEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


1ST GEAR 

ON 

STUD 


2N0GEAR 

ON 

STUD 


GEAR 

ON 

SCREW 


12.272 


72 


44 


48 


64 


12.900 


86 


32 


48 


100 


13-566 


100 


48 


56 


86 


12.277 


100 


56 


44 


64 


12.900 


86 


48 


72 


100 


13.611 


56 


24 


28 


48 


12.286 


86 


28 


40 


100 


12.963 


56 


24 


40 


72 


13-636 


48 


32 


40 


44 


I2.286' 


86 


40 


32 


56 


I2.9S7 


100 


44 


32 


56 


13-636 


100 


40 


24 


44 


12.318 


86 . 


48 


44 


64 


13.020 


100 


48 


40 


64 


13-636 


72 


44 


40 


48 


12.343 


72 


28 


48 


100 


13.024 


56 


24 


48 


86 


13-643 


64 


24 


44 


86 


12.375 


72 


40 


44 


64 


13.024 


64 


32 


56 


86 


13-650 


86 


28 


32 


72 


12.403 


64 


24 


40 


86 


13-030 


86 


44 


32 


48 


13-650 


86 


56 


64 


72 


12.444 


64 


40 


56 


72 


13.030 


86 


44 


48 


72 


13-672 


100 


32 


28 


64 


12.468 


64 


28 


24 


44 


13.062 


64 


28 


32 


56 


13.682 


86 


40 


28 


44 


12.468 


48 


28 


32 


44 


13.082 


100 


64 


72 


86 


13-713 


64 


40 


48 


56 


12.468 


64 


44 


48 


56 


13.090 


72 


40 


32 


44 


13-715 


64 


28 


24 


40 


12.500 


40 


24 


24 


32 


13.096 


44 


28 


40 


48 


13-715 


48 


28 


32 


40 


12.500 


48 


24 


40 


64 


13.096 


44 


24 


40 


56 


13-750 


44 


24 


24 


32 


12.500 


56 


28 


40 


64 


13-125 


72 


32 


28 


48 


13:750 


48 


24 


44 


64 


12.500 


100 


40 


24 


48 


13-125 


72 


24 


28 


64 


13-750 


56 


28 


44 


64 


12.500 


100 


40 


28 


56 


13-125 


56 


32 


48 


64 


13-760 


86 


40 


64 


100 


12.500 


100 


40 


32 


64 


13-125 


72 


48 


56 


64 


13-889 


100 


24 


24 


72 


12.542 


86 


40 


28 


48 


13-139 


86 


40 


44 


72 


13-933 


86 


48 


56 


72 


12.508 


86 


44 


64 


100 


13-157 


72 


28 


44 


86 


13-935 


86 


24 


28 


72 


12.558 


72 


32 


48 


86 


13-163 


86 


28 


24 


56 


13-953 


72 


24 


40 


86 


12.571 


64 


40 


44 


56 


13.200 


72 


24 


44 


100 


13-953 


100 


40 


48 


86 


12.572 


44 


28 


32 


40 


13-258 


100 


44 


28 


48 


13.960 


86 


44 


40 


56 


12.600 


72 


32 


56 


100 


13.289 


100 


28 


32 


86 


13-968 


64 


28 


44 


72 


12.627 


100 


44 


40 


72 


13.289 


100 


56 


64 


86 


14.000 


56 


24 


24 


40 


12.686 


100 


44 


48 


86 


13-333 


64 


24 


24 


48. 


14.000 


48 


24 


28 


40 


12.698 


64 


28 


40 


72 


13-333 


64 


24 


28 


56 


14.000 


64 


32 


28 


40 


12.727 


64 


32 


28 


44 


13-333 


56 


28 


32 


48 


14.025 


72 


44 


48 


56 


12.728 


56 


24 


24 


44 


13-333 


56 


28 


48 


72 


14.026 


72 


28 


24 


44 


12.728 


48 


24 


28 


44 


13-333 


64 


32 


48 


72 


14.063 


72 


32 


40 


64 


12.732 


100 


48 


44 


72 


13-393 


100 


56 


48 


64 


14.071 


86 


44 


72 


100 


12.758 


64 


28 


48 


86 


13-393 


100 


28 


24 


64 


14.078 


86 


48 


44 


56 


12.791 


TOO 


40 


44 


86 


13-393 


100 


32 


24 


56 


14.142 


72 


40 


44 


56 


12.798 


86 


48 


40 


56 


13-396 


72 


40 


64 


86 


14 -204 


100 


44 


40 


64 


12.800 


64 


28 


56 


too 


13-437 


86 


32 


28 


56 


14.260 


56 


24 


44 


72 


12.800 


64 


24 


48 


100 


13-43S 


86 


24 


24 


64 


14.286 


40 


24 


24 


28 


12.834 


56 


40 


44 


48 


13-438 


86 


32 


24 


48 


14.286 


48 


24 


40 


56 


12.834 


44 


24 


28 


40 


13-469 


48 


28 


44 


56 


14.286 


64 


32 


40 


56 


12.857 


72 


28 


32 


64 


13-500 


72 


32 


24 


40 


14.286 


100 


40 


32 


56 


12.857 


72 


24 


24 


56 


13-500 


72 


40 


48 


64 


14.318 


72 


32 


28 


44 


12.857 


72 


28 


.24 


48 


13-514 


86 


28 


44 


100 


14-319 


72 


44 


56 


64 


12.858 


48 


28 


24 


32 


13-566 


100 


24 


28 


86 


14.322 


100 


48 


44 


64 



BROWN & SHARPE MFG. CO. 

Table of Leads, J4333" to J6.9I4". 



165 





DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


15TGEAR 
ON 
STUD 


2N0GEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


16TGEAR 
ON 
STUD 


2N11GEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 
ON 

WORM 


16TGEAR 
ON 
STUD 


2N0GEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


14-333 


86 


40 


32 


48 


15-238 


64 


28 


48 


72 


I5.9S9 


100 


32 


44 


86 


14-333 


86 


24 


40 


100 


15-239 


64 


28 


32 


48 


16.000 


64 


24 


24 


40 


14-333 


86 


40 


48 


72 


15-239 


64 


24 


32 


56 


16.000 


48 


24 


32 


40 


14-352 


72 


28 


48 


86 


15.272 


56 


40 


48 


44 


16.000 


56 


28 


32 


40 


14.400 


72 


24 


48 


100 


15-278 


44 


24 


40 


48 


16.042 


56 


24 


44 


64 


14.400 


72 


28 


56 


100 


15-279 


100 


40 


44 


72 


16.042 


56 


32 


44 


48 


14.400 


72 


32 


64 


100 


15-306 


100 


28 


24 


56 


16.043 


44 


24 


28 


32 


14-536 


100 


32 


40 


86 


15-349 


72 


24 


44 


86 


16.071 


72 


32 


40 


56 


14-545 


64 


24 


24 


44 


15.357 


86 


28 


24 


48 


16.071 


72 


28 


40 


64 


14-545 


48 


24 


32 


44 


15-357 


86 


24 


24 


56 


16.125 


86 


32 


24 


40 


14-545 


56 


28 


32 


44 


15-357 


86 


28 


32 


64 


16.125 


86 


40 


48 


64 


14-5S3 


56 


32 


40 


48 


15-429 


72 


40 


48 


56 


16.204 


100 


24 


28 


72 


14-583 


56 


24 


40 


64 


15-429 


72 


28 


24 


40 


16.204 


100 


48 


56 


72 


14-5S3 


100 


40 


28 


48 


15-469 


72 


32 


44 


64 


16.233 


100 


44 


40 


56 


14-5S4 


40 


24 


28 


32 


15.480 


86 


40 


72 


100 


16.280 


100 


40 


56 


86 


14.651 


72 


32 


56 


86 


15-504 


100 


48 


64 


86 


16.288 


86 


44 


40 


48 


14-6.59 


86 


44 


48 


64 


15-504 


100 


24 


32 


86 


16.296 


64 


24 


44 


72 


14.659 


86 


32 


24 


44 


15-556 


64 


32 


56 


72 


16.327 


64 


2S 


40 


56 


14.667 


64 


40 


44 


48 


15-556 


64 


24 


28 


48 


16.333 


56 


24 


28 


40 


14.668 


44 


24 


32 


40 


15-556 


56 


24 


32 


48 


16.364 


72 


24 


24 


44 


14.694 


72 


28 


32 


56 


15-556 


32 


24 


28 


24 


16.370 


100 


48 


44 


56 


14-743 


86 


28 


48 


100 


15-556 


56 


24 


48 


72 


16.423 


86 


32 


44 


72 


14.780 


86 


40 


44 


64 


I5-5S4 


48 


28 


40 


44 


16.456 


72 


-28 


64 


100 


14.800 


100 


44 


56 


86 


15-625 


100 


24 


24 


64 


16.500 


72 


40 


44 


48 


14.815 


64 


24 


40 


72 


15-625 


100 


32 


24 


48 


16.500 


48 


32 


44 


40 


14-S49 


56 


24 


28 


44 


15-625 


100 


32 


28 


56' 


16.612 


100 


28 


40. 


86 


14.8S0 


100 


43 


40 


56 


15-636 


86 


40 


32 


44 


16.623 


64 


28 


32 


44 


14.S84 


64 


28 


56 


.86 


15-677 


86 


32 


28 


48 


16.667 


56 


28 


40 


48 


14.884 
14-931 


64 


24 


48 


86 


15-677 


86 


24 


28 


64 


16.667 


64 


32 


40 


48 


86 


32 


40 


72 


15-677 


86 


48 


56 


64 


16.667 


100 


40 


32 


48 


14-933 


64 


24 


56 


100 


15-714 


44 


24 


24 


28 


16.667 


100 


40 


48 


72 


14-950 


100 


56 


72 


86 


15-714 


48 


24 


44 


56 


16.722 


86 


40 


56 


72 


15.000 


48 


24 


24 


32 


15-714 


64 


32 


44 


56 


16.744 


72 


24 


48 


86 


15.000 


56 


28 


24 


32 


15-750 


72 


32 


28 


40 


16.744 


72 


28 


56 


86 


15.000 


72 


24 


24 


48 


15-750 


72 


40 


56 


64 


16.744 


72 


32 


64 


86 


15.000 


72 


24 


28 


56 


15-767 


86 


24 


44 


100 


16.752 


86 


44 


48 


56 


15.000 


72 


24 


32 


64 


15-873 


100 


56 


64 


72 


16.753 


86 


-28 


24 


44 


15.000 


56 


28 


48 


64 


15-874 


100 


28 


32 


72 


16-797 


86 


32 


40 


64 


15-050 


86 


32 


56 


100 


15-909 


100 


40 


28 


44 


16.800 


72 


24 


56 


100 


15-150 


100 


44 


32 


48 


15-909 


56 


32 


40 


44 


16.875 


72 


32 


48 


64 


15-151 


100 


44 


48 


72 


15-925 


86 


48 


64 


72 


16.892 


86 


40 


44 


56 


15.202 


86 


44 


56 


72 


15-926 


86 


24 


32 


72 


16.914 


100 


44 


64 


86 



i66 



BROWN & SHARPE MFG. CO. 

Tabic of Leads, J6.969'' to 20.20'^ 





DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 


LEAD IN 
INCHES 


GEAR 

ON 

WORM 


"GEAR 

ON 
STUD 


2N0GEAR 
ON 
STUD 


GEAR 
ON 

SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


1ST GEAR 
ON 
STUD 


2N11GEAR 

ON 

STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 

WORM 


16TGEAR 
ON 
STUD 


2N03EAR 
ON 
STUD 


GEAR 

ON 
SCREW 


16.969 


64 


44 


56 


48 


17.918 


86 


32 


48 


72 


19.091 


72 


24 


28 


44 


16.970 


64 


24 


28 


44 


17-959 


64 


28 


44 


56 


19.096 


100 


32 


44 


72 


16.970 


56 


24 


32 


44 


18.000 


72 


24 


24 


40 


19.111 


86 


40 


64 


72 


17-045 


100 


32 


24 


44 


18.181 


56 


28 


40 


44 


19.136 


72 


28 


64 


86 


17.046 


100 


44 


48 


64 


18.181 


64 


32 


40 


44 


19.197 


86 


32 


40 


56 


17.062 


86 


28 


40 


72 


18.181 


100 


40 


32 


44 


19.197 


86 


28 


40 


64 


I7.IOI 


86 


44 


56 


64 


18.182 


48 


24 


40 


44 


19.200 


72 


24 


64 


100 


17.102 


86 


32 


28 


44 


18.229 


100 


32 


28 


48 


19.250 


56 


32 


44 


40 


17.141 


64 


32 


48 


56 


18.229 


100 


24 


28 


64 


19.285 


72 


32 


48 


56 


17-143 


64 


28 


24 


32 


18.229 


100 


48 


56 


64 


19.285 


72 


28 


48 


64 


17.144 


48 


24 


24 


28 


18,273 


100 


28 


44 


86 


I9.2S6 


72 


28 


24 


32 


17.144 


72 


28 


32 


48 


18.285 


64 


28 


32 


40 


19-350 


86 


32 


72 


100 


17.144 


72 


24 


32 


56 


18.333 


56 


28 


44 


48 


19.380 


100 


24 


40 


86 


17.144 


72 


48 


64 


56 


18-333 


64 


32 


44 


48 


19-394 


64 


24 


32 


44 


17.188 


100 


40 


44 


64 


IS.367 


72 


28 


40 


56 


19.444 


40 


24 


28 


24 


17.200 


86 


32 


64 


100 


18.428 


86 


28 


24 


40 


19.444 


56 


24 


40 


48 


17.200 


86 


28 


56 


100 


18.428 


86 


40 


48 


56 


19.444 


100 


40 


56 


72 


17.200 


86 


24 


48 


100 


18.476 


86 


32 


44 


64 


19480 


100 


28 


24 


44 


17-275 


86 


56 


72 


64 


18.519 


100 


24 


32 


72 


19.480 


100 


44 


48 


56 


17.361 


100 


32 


40 


72 


18.519 


100 


48 


64 


72 


19-531 


100 


32 


40 


64 


17-364 


64 


24 


56 


86 


18.605 


100 


40 


64 


86 


19-535 


72 


24 


56 


86 


17-373 


86 


44 


64 


72 


18.663 


100 


64 


86 


72 


19545 


86 


24 


24 


44 


17.442 


100 


32 


48 


86 


18.667 


64 


24 


28 


40 


19-590 


64 


28 


48 


56 


17.442 


100 


48 


72 


86 


18.667 


56 


24 


32 


40 


19-635 


72 


40 


48 


44 


17-454 


64 


40 


48 


44 


18.667 


64 


40 


56 


48 


19.642 


100 


40 


44 


56 


17-500 


56 


24 


24 


32 


IS.700 


72 


44 


64 


56 


19-643 


44 


28 


40 


32 


17-500 


48 


24 


28 


32 


18.700 


72 


28 


32 


44 


19-656 


86 


28 


64 


100 


17.500 


72 


24 


28 


48 


18.750 


100 


32 


24 


40 


I9.6S7 


72 


32 


56 


64 


17.500 


56 


24 


48 


64 


18.750 


72 


24 


40 


64 


19.710 


86 


40 


44 


48 


17-550 


86 


28 


32 


56 


18.750 


72 


32 


40 


48 


19.840 


100 


28 


40 


72 


17.677 


100 


44 


56 


72 


18.750 


100 


40 


48 


64 


19.886 


100 


44 


56 


64 


17.679 


72 


32 


44 


55 


18.770 


86 


28 


44 


72 


19.887 


100 


32 


28 


44 


17.679 


72 


28 


44 


64 


18.812 


86 


32 


28 


40 


19.908 


86 


24 


40 


72 


17.778 


64 


24 


32 


48 


18.812 


86 


40 


56 


64 


19-934 


100 


28 


48 


86 


17.778 


64 


24 


48 


72 


18.S58 


48 


28 


44 


40 


20.00 


72 


24 


32 


48 


17.778 


64 


28 


56 


72 


18-939 


100 


44 


40 


48 


20.00 


64 


24 


24 


32 


17.858 


100 


24 


24 


56 


19.029 


100 


44 


72 


86 


20.00 


56 


24 


24 


28 


17-858 


100 


28 


32 


64 


19.048 


40 


24 


32 


28 


20.07 


86 


24 


56 


100 


17.858 


100 


28 


24 


48 


19.048 


64 


24 


40 


56 


20.09 


100 


56 


72 


64 


17.917 


86 


24 


32 


64 


19.048 


64 


28 


40 


48 


20.16 


86 


48 


72 


64 


17.917 


86 


24 


28 


56 


19.090 


56 


32 


48 


44 


20.16 


86 


62 


48 


64 


17.918 


86 


24 1 24 


48 


19.090 


72 


44 


56 


48 


■20.20 


100 


44 


64 


72 



BROWN & SHARPE MFG. CO. 

Table of Leads, 20,20" to 24.55". 



167 





DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


ISTGEAH 
ON 
STUD 


211DGEAR 
ON 
STUD 


GEAR 

ON 

SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


IS'GEAR 
ON 
STUD 


2NPGEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


I8IGEAR 

ON 
STUD 


2N0GEAR 
ON 
STUD 


GEAR 

ON 
SCREW 












21-43 


100 


28 


24 


40 


23.04 


86 


32 


48 


56 


20.20 


72 


28 


44 


56 


21.48 


100 


32 


44 


64 


23.04 


86 


28 


48 


64 


20.35 


100 


32 


56 


86 


21.50 


86 


24 


24 


40 


23.04 


86 


28 


24 


32 


20.36 


64 


40 


56 


44 


21.82 


72 


44 


64 


48 


23-14 


100 


24 


40 


72 


20.41 


100 


28 


32 


56 


21.82 


100 


2& 


44 


72 


23.26 


100 


32 


64 


86 


20.42 


56 


24 


28 


32 


21.82 


64 


32 


48 


44 


23.26 


100 


28 


56 


86 


20.45 


72 


32 


40 


44 


21.82 


56 


28 


48 


44 


23.26 


100 


24 


48 


86 


20.48 


86 


48 


64 


56 


21.82 


72 


24 


32 


44 


23-33 


64 


32 


56 


48 


2O.4S 


86 


28 


48 


72 


21.88 


100 


40 


56 


64 


23-33 


48 


24 


28 


■24 


20.48 


86 


28 


32 


48 


21.88 


100 


32 


28 


40 


23-33 


64 


24 


28 


32 


20.4S 


86 


24 


32 


56 


21.90 


86 


24 


44 


72 


23-38 


72 


28 


40 


44 


20-57 


72 


40 


64 


56 


21.94 


86 


28 


40 


56 


23-44 


100 


48 


72 


64 


20.57 


72 


28 


32 


40 


21.99 


86 


44 


72 


64 


23-44 


100 


32 


48 


64 


20.63 


72 


32 


44 


48 


22.00 


64 


32 


44 


40 


23-45 


86 


40 


48 


44 


20.63 


72 


24 


44 


64 


22.00 


48 


24 


44 


40 


23-52 


86 


32 


56 


64 


20.74 


64 


24 


56 


72 


22.00 


56 


28 


44 


40 


23-57 


72 


28 


44 


48 


20.78 


64 


28 


40 


44 


22.04 


72 


28 


48 


56 


23-57 


72 


24 


44 


56 


20.83 


100 


32 


48 


72 


22. ir 


86 


28 


72 


100 


23-57 


48 


28 


44 


32 


20.83 


100 


24 


32 


64 


22.22 


100 


40 


64 


72 












20.83 


100 


24 


28 


56 


22.22 


40 


24 


32 


24 


23-81 


100 


48 


64 


56 


20.83 


100 


24 


24 


48 


22.22 


64 


24 


40 


48 


23.81 


100 


28 


48 


72 


20.90 


86 


32 


56 


72 


22.32 


72 


24 


64 


86 


23.81 


100 


28 


32 


48 


20.90 


86 


24 


28 


48 


22.32 


100 


32 


40 


56 


23.81 


100 


24 


32 


56 


20.93 


100 


40 


72 


86 


22.32 


100 


28 


40 


64 


23.89 


86 


32 


64 


72 


20.95 


64 


28 


44 


48 


22.34 


86 


44 


64 


56 


23.89 


86 


28 


56 


72 


20.95 


64 


24 


44 


56 


22.34 


86 


28 


32 


44 


23.89 


86 


24 


48 


72 


20.95 


44 


24 


32 


28 


22.40 


86 


32 


40 


48 


23.89 


86 


24 


32 


48 


21.00 


56 


32 


48 


40 


22.40 


86 


24 


40 


64 


24.00 


64 


40 


72 


48 


21.00 


72 


40 


56 


48 


22.50 


72 


24 


48 


64 


24.00 


72 


24 


32 


40 


21.00 


72 


24 


28 


40 


22.50 


72 


24 


24 


32 


24.00 


56 


28 


48 


40 


21.12 


86 


32 


44 


56 


22.50 


72 


28 


56 


64 


24.00 


64 


32 


48 


40 


21.12 


86 


28 


44 


64 


22.73 


100 


24 


24 


44 


24.00 


100 


56 


86 


64 


21.21 


56 


24 


40 


44 


22.80 


86 


48- 


56 


44 


24-13 


86 


28 


44 


56 


21.32 


100 


24 


44 


86 


22.80 


86 


24 


28 


44 


24.19 


86 


40 


72 


64 


21-33 


100 


56 


86 


72 


22.86 


64 


24 


24 


28 


24.24 


64 


24 


40 


44 


21.33 


64 


24 


32 


40 


22.86 


48 


24 


32 


28 


24.31 


100 


32 


56 


72 


21.39 


44 


24 


28 


24 


22.86 


64 


24 


48 


56 


24-31 


100 


24 


28 


48 


21.39 


56 


24 


44 


48 


22.91 


72 


44 


56 


40 


24-43 


86 


32 


40 


44 


21.43 


100 


40 


48 


56 


22.92 


100 


40 


44 


48 


24.44 


44 


24 


32 


24 


21-43 


72 


28 


40 


48 


22.92 


44 


24 


40 


32 


24.44 


64 


24 


44 


48 


21-43 


72 


24 


40 


56 


22.93 


86 


-24 


64 


100 


24-54 


72 


32 


48 


44 


21-43 


48 


28 


40 


32 


23-04 


86 


56 


72 


48 


24-55 


100 


32 


44 


56 



1 68 



BROWN & SHARPE MFG. CO. 

Table of Leads, 24.55" to 3UtV\ 





DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRfVEN 


DRIVER 


DRIVEN 


DRIVER 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


IS1GEAR 

ON 
STUD 


2NDGEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


1ST GEAR 
ON 
STUD 


2NDGEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


1ST GEAR 
ON 
STUD 


2NDGEAB 
ON 
STUD 


GEAR 

ON 
SCREW 


24-55 


100 


28 


44 


64 


26.52 


100 


24 


28 


44 


28.57 


100 


56 


64 


40 


24-57 


86 


40 


64 


56 


26.58 


100 


28 


64 


86 


28.57 


48 


28 


40 


24 


24-57 


86 


28 


32 


40 


26.67 


64 


28 


56 


48 


28.57 


64- 


32 


40 


28 


24.64 


86 


24 


44 


64 


26.67 


56 


24 


32 


28 


28.57 


100 


28 


32 


40 


24.64 


86 


32 


44 


48 


26.67 


48 


24 


32 


24 


28.64 


72 


44 


56 


32 


24.75 


72 


32 


44 


40 


26.79 


100 


48 


72 


56 


28.65 


100 


32 


44 


48 


24.88 


100 


72 


86 


48 


26.79 


100 


32 


48 


56 


28.65 


100 


24 


44 


64 


24-93 


64 


28 


48 


44 


26.79 


100 


28 


48 


64 


2867 


86 


40 


64 


48 


25.00 


72 


24 


40 


48 


26.79 


100 


28 


24 


32 


2867 


86 


24 


32 


40 


25.00 


48 


24 


40 


32 


26.88 


86 


28 


56 


64 


29.09 


64 


24 


48 


44 


25.00 


56 


28 


40 


32 


26.88 


86 


24 


48 


64 


29.09 


64 


28 


56 


44 


25.00 


100 


24 


24 


40 


26.88 


86 


24 


24 


32 


29.17 


100 


40 


56 


48 


25.08 


86 


24 


28 


40 


27.00 


72 


32 


48 


40 


29.17 


56 


24 


40 


32 


25.09 


86 


40 


56 


48 


27.13 


100 


24 


56 


86 


29.17 


100 


24 


28 


40 


23-13 


86 


44 


72 


56 


27-15 


100 


44 


86 


72 


29.22 


100 


56 


72 


44 


25-14 


64 


28 


44 


40 


27.22 


56 


24 


28 


24 


29.32 


86 


48 


72 


44 


25-45 


64 


44 


56 


32 


27-27 


100 


40 


48 


44 


29.32 


86 


32 


48 


44 


25-45 


56 


24 


48 


44 


27.27 


72 


24 


40 


44 


29-34 


64 


24 


44 


40 


25.46 


100 


24 


44 


72 


27-30 


86 


28 


64 


72 


29-39 


72 


28 


64 


56 


25-51 


100 


28 


40 


56 


27-34 


100 


32 


56 


64 


29.56 


86 


32 


44 


40 


25-57 


100 


64 


72 


44 


27.36 


86 


40 


56 


44 


29.76 


100 


28 


40 


48 


25.60 


86 


28 


40 


48 


27-43 


64 


28 


48 


40 


29.76 


100 


24 


40 


56 ■ 


25.60 


86 


24 


40 


56 


27.50 


56 


32 


44 


28 


29.86 


100 


40 


86 


72 


25.67 


56 


24 


44 


40 


27.50 


48 


24 


44 


32- 


29.S6 


86 


24 


40 


48 


25-71 


72 


24 


48 


56 


27-50 


72 


24 


44 


48 


29.90 


100 


28 


72 


86 


25-71 


72 


56 


64 


32 


27.64 


86 


40 


72 


56 


30.00 


56 


28 


48 


32 


25.72 


72 


24 


24 


28 


27.78 


100 


32 


64 ■ 


■72 


30.00 


72 


32 


64 


48 


25.80 


86 


24 


72 


100 


27.78 


100 


28 


56 


72 


30.00 


72 


28 


56 


48 


25-97 


100 


44 


64 


56 


27.78 


100 


24 


48 


72 


30-23 


86 


32 


72 


64 


25-97 


100 


28 


32 


44 


27.78 


100 


24 


32 


48 


30.30 


100 


48 


64 


44 


26.04 


100 


32 


40 


48 


27.87 


86 


24 


56 


72 


30.30 


100 


24 


32 


44 


26.04 


100 


24 


40 


64 


27.92 


86 


28 


40 


44 


30-48 


64 


24 


32 


28 


26.06 


86 


44 


64 


48 


28.00 


100 


64 


86 


48 


30.54 


100 


44 


86 


64 


26.06 


86 


24 


32 


44 


28.00 


64 


32 


56 


40 


30-56 


44 


24 


40 


24 


26.16 


100 


32 


72 


86 


28.00 


56 


24 


48 


40 


30.61 


100 


■ 28 


48 


56 


26.18 


72 


40 


64 


44 


28.05 


72 


28 


48 


44 


30-71 


86 


24 


48 


56 


26.19 


44 


24 


40 


28 


28.06 


100 


28 


44 


56 


30.71 


86 


32 


64 


56 


26.25 


72 


32 


56 


48 


28.13 


100 


40 


72 


64 


30.72 


86 


24 


24 


28 


26.25 


72 


24 


56 


64 


28.15 


86 


28 


44 


48 


30.86 


72 


28 


48 


40 


26.25 


72 


24 


28 


32 


28.15 


86 


24 


44 


56 


31-01 


100 


24 


64 


86 


26.33 


86 


28 


48 


56 


28.29 


72 


28 


44 


40 


31-11 


64 


24 


56 


48 


26.52 


100 


44 


56 


48 


28.41 


100 


32 


40 


44 


■31.11 


56 


24 


32 


24 



BROWN & SHARPE MFG. CO. 

Table of Leads, 3Utr to 4J,99". 



169 





DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




D'RIVEN 


DRIVER 


DRIVEN 


DRIVER 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


ISTGEAR 
ON 
STUD 


2NDGEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


161 GEAR 
ON 
STUD 


2N0GEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


I8TGEAR 

ON 

STUD 


2NCGEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


3I-II 


64 


24 


28 


24 


34-09 


100 


44 


48 


32 


37-50 


72 


24 


40 


32 


31-25 


100 


28 


56 


64 


34.20 


86 


44 


56 


32 


37.63 


86 


32 


56 


40 


31-25 


100 


24 


48 


64 


34-29 


72 


48 


64 


28 


37.88 


100 


24 


40 


44 


31-25 


100 


24 


24 


32 


34.29 


72 


24 


64 


56 


38.10 


64 


24 


40 


28 


31-27 


S6 


40 


64 


44 


34.29 


64 


32 


48 


28 


38.18 


72 


24 


56 


44 


31-35 


86 


32 


56 


48 


34.29 


72 


24 


32 


28 


38.20 


100 


24 


44 


48 


31-35 


86 


24 


56 


64 


34-38 


100 


32 


44 


40 


3S-39 


100 


40 


86 


56 


31-36 


86 


24 


28 


32 


34-55 


86 


32 


72 


56 


38.39 


86 


28 


40 


32 


31-43 


64 


28 


44 


32 


34-55 


86 


28 


72 


64 


38.57 


72 


28 


48 


32 


3143 


48 


24 


44 


28 


34.72 


100 


24 


40 


48 


38.89 


56 


24 


40 


24 


31-50 


72 


32 


56 


40 


34.88 


100 


24 


72 


86 


38.96 


100 


28 


48 


44 


31-75 


100 


72 


64 


28 


34.90 


100 


56 


86 


44 


39-09 


86 


32 


64 


44 


31-82 


100 


44 


56 


40 


35-00 


72 


24 


56 


48 


39-09 


86 


28 


56 


44 


31-85 


86 


24 


64 


72 . 


35-00 


56 


24 


48 


32 


39-09 


86 


24 


48 


44 


31-99 


100 


56 


86 


48 


35-00 


72 


24 


28 


24 


39-29 


100 


28 


44 


40 


32.00 


64 


28 


56 


40 


35.10 


86 


28 


64 


56 


39-42 


86 


24 


44 


40 


32.00 


64 


24 


48 


40 


35-16 


100 


32 


72 


64 












32.09 


56 


24 


44 


32 


35.18 


86 


44 


72 


40 


39-49 


86 


28 


72 


56 


32-14 


100 


56 


72 


40 


35-36 


72 


32 


44 


28 


39-77 


100 


32 


56 


44 


32-14 


72 


28 


40 


32 


35-56 


.64 


24 


32 


24 


40.00 


72 


24 


64 


48 


32-25 


86 


48 


72 


40 


35-71 


100 


32 


64 


56 


40. 00 


64 


28 


56 


32 


32-25 


86 


40 


48 


32 


35.71 


100 


24 


48 


56 


40.00 


64 


24 


48 


32 


32.41 


100 


24 


56 


72 


35.72 


100 


24 


24 


28 


40.00 


56 


24 


48 


28 


32.47 


100 


28 


40 


44 


35.83 


86 


32 


64 


48 


40.00 


72 


24 


32 


24 


32.58 


86 


24 


40 


44 


35-83 


86 


28 


56 


48 


40. iS 


100 


32 


72 


56 


32.73 


72 


32 


64 


44 


36.00 


72 


32 


64 


40 


40.18 


100 


28 


72 


64 


32.73 


72 


28 


56 


44 


36.00 


72 


28 


S6 


40 


40.31 


86 


32 


72 


48 


32-73 


72 


24 


48 


44 


36.00 


72 


24 


48 


40 


40.31 


86 


24 


72 


64 


32.74 


100 


28 


44 


48 


36.36 


100 


44 


64 


40 


40-72 


100 


44 


86 


48 


32-74 


100 


24 


44 


56 


36.46 


100 


48 


56 


32 


40. 82 


100 


28 


64 


56 


32.85 


86 


24 


44 


48 


36.46 


100 


24 


56 


64 


40.91 


100 


40 


72 


44 


33.00 


72 


24 


44 


40 


36.46 


100 


24 


28 


32 


40.95 


86 


28 


64 


48 


33-33 


100 


24 


32 


40 


36.67 


48 


24 


44 


24 


40-95 


86 


24 


64 


56 


33-33 


100 


48 


64 


40 


36.67 


64 


24 


44 


32 


40.96 


86 


24 


32 


28 


33-33 


64 


24 


40 


32 


36.67 


56 


24 


44 


28 


41.14 


72 


28 


64 


40 


33-33 


56 


24 


40 . 


28 


36.86 


86 


28 


48 


40 


41-25 


72 


24 


44 


32 


33-33 


48 


24 


40 


24 


37.04 


100 


24 


64 


72 


41-67 


100 


32 


64 


48 


33-51 


86 


28 


48 


44 


37-33 


100 


32 


86 


72 


41.67 


100 


28 


56, 


48 


33-59 


100 


64 


86 


40 


37-33 


64 


24 


56 


40 


41.81 


86 


24 


56 


48 


33-79 


86 


28 


44 


40 


37-40 


72 


28 


64 


44 


41.81 


86 


24 


28 


24 


33-94 


64 


24 


56 


44 


37-50 


100 


48 


72 


40 


41.91 


64 


24 


44 


28 


34-09 


100 


48 


72 


44 


37-50 


100 


32 


48 


40 


41.99 


100 


32 


86 64 1 



170 



BROWN & SHARPE MFC, CO. 



Table of Leads. 42.00'' to 74,65". 





DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


1ST GEAR 

ON 

STUD 


2HBGEAR 

ON 

STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


1ST GEAR 
ON 
STUD 


aitDGEAR 
ON 
STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


1ST GEAR 
ON 
STUD 


2NDGEAR 
ON 
STUD 


GEAR 

ON 

SCREW 


42 00 


72 


24 


56 


40 


48.00 


72 


24 


64 


40 


56-31 


86 


24 


44 


28 












48.38 


86 


■32 


72 


40 


57.14 


100 


28 


64 


40 


42.23 


86 


28 


44 


32 


48.61 


100 


24 


56 


48 


57-30 


100 


24 


44. 


32 


42.66 


100 


28 


86 


72 


48.61 


100 


24 


28 


24 


57.33 


.86 


24 


64 


40 


42.78 


56 


24 


44 


24 


4S.86 


100 


40 


86 


44 


58.33 


100 


24 


56 


40 


42.86 


100 


28 


48 


40 


48.89 


64. 


24 


44 


24 


58.44 


100 


28 


72 


44 


42.86 


72 


24 


40 


28 


49.11 


100 


28 


44 


32 


58.64 


86 


24 


72 


44 


43.00 


86 


32 


64 


40 


49-14 


86 


28 


64 


40 


59-53 


100 


24 


40 


28 


43.00 


86 


28 


56 


40 


49-27 


86 


24 


44 


32 


59.72 


86 


24 


40 


24 


43.00 


86 


24 


48 


40 


49-77 


100 


24 


86 


72 


60.00 


72 


24 


64 


32 


43-64 


72 


24 


64 


44 


50.00 


100 


28 


56 


40 


60.00 


72 


24 


56 


28 


4375 


100 


32 


56 


40 


50.00 


100 


24 


48 


40 


60.00 


72 


24 


48 


24 


43.98 


86 


32 


72 


44 


50.00 


72 


24 


40 


24 


60.61 


100 


24 


64 


44 


44-44 


64 


24 


40 


24 


50.00 


100 


32 


64 


40 


61.08 


100 


32 


86 


44 


44.64 


100 


28 


40 


32 


50-17 


86 


24 


56 . 


40 


61.43 


86 


28 


64 


32 


44.68 


86 


28 


64 


44 


50.26 


86 


28 


72 


44 


61.43 


86 


24 


48 


28 


44-79 


100 


40 


86 


48 


51-14 


100 


32 


72 


44 


62.22 


64 


24 


56 


24 


44-79 


86 


24 


40 


32 


51-19 


86 


24 


40 


28 


62.50 


100 


24 


72 


48 


45.00 


72 


28 


56 


32 


51-43 


72 


28 


64 


32 


62.50 


100 


28 


56 


32 


45.00 


72 


24 


48 


32 


51-43 


72 


24 


48 


.28 


62.50 


100 


24 


48 


32 


45-45 


100 


32 


64 


44 


51.95 


100 


28 


64 


44 


62.71 


86 


24 


56 


32 


45-45 


100 


24 


48 


44 


52.08 


100 


24 


40 


32 


63.99 


100 


28 


86 


48 


45-46 


100 


28 


56 


44 


52.12 


86 


24 


64 


44 


63.99 


100 


24 


86 


56 


45-61 


86 


24 


56 


44 


52-50 


72 


24 


56 


32 


64.29 


100 


28 


72 


40 


45-72 


64 


24 


48 


28 


53-03 


100 


24 


56 


44 


64.50 


86 


24 


72 


40 


45-84 


100 


24 


44 


40 


53-33 


64 


24 


56 


28 


65.48 


100 


24 


44 


28 


45-92 


100 


28 


72 


56 


53-33 


64 


24 


48 


24 


65.70 


86 


24 


44 


24 


46.07 


86 


28 


72 


48 


53-57 


100 


28 


72 


48 


66.67 


100 


24 


64 


40 


46.07 


86 


24 


72 


56 


53-57 


100 


24 


72 


56 


67.19 


100 


32 


86 


40 


46.07 


86 


28 


48 


32 


53-57 


86 


24 


72 


48 


68.18 


100 


24 


72 


44 


46.67 


64 


24 


56 


32 


53-57 


100 


28 


48 


32 


68.57 


72 


24 


64 


28 


46.67 


56 


24 


48 


24 












69.11 


36 


28 


72 


32 


46.88 


100 


32 


72 


48 


53-75 


86 


24 


48 


32 


69.44 


100 


24 


40 


24 


46.88 


100 


24 


72 


64 


53-75 


86 


28 


56 


32 


69.80 


100 


28 


86 


44 


47-15 


72 


24 


44 


28 


54-S5 


100 


28 


86 


56 


70.00 


72 


24 


56 


24 


47.62 


100 


28 


64 


48 


55-00 


72 


24 


44 


24 


71.43 


100 


28 


64 


32 


47.62 


100 


24 


64 


56 


55.28 


86 


28 


72 


40 


71.43 


IOC 


24 


48 


28 


47-62 


100 


24 


32 


28 


55-56 


100 


24 


32 


24 


71.67 


86 


24 


64 


32 


47.78 


86 


24 


64 


48 


55-56 


100 


24 


64 


48 


71.67 


86 


24 


56 


28 


47-78 


86 


24 


32 


24 


55-99 


100 


24 


86 


64 


71.67 


86 


24 


48 


24 


47-99 


100 


32 


86 


56 


55-99 


100 


32 


86 


48 


72.92 


100 


24 


56 


32 


47-99 


100 


28 


86 


64 


56-25 


100 


32 


72 


40 


74-65 


100 


24 


86 


48 



BROWN & SHARPE MFG. CO, 



171 



Table of Leads, 75.00" to J49.3J". 





DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 




DRIVEN 


DRIVER 


DRIVEN 


DRIVER 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


181 GEAR 

ON 

STUD 


2N0GEAR 

ON 

STUD 


GEAR 

ON 
SCREW 


LEAD IN 
INCHES 


GEAfl 

ON 

WORM 


161 GEAR 
ON 
STUD 


2liDGEAR 
ON 
STUD 


GEAR 

ON 

SCREW 


LEAD IN 
INCHES 


GEAR 

ON 
WORM 


1»'GEAR 
ON 
STUD 


2K0GEAR 
ON 
STUD 


GEAR 

ON 

SCREW 


75.00 


100 


24 


72 


40 






















76.39 


100 


24 


44 


24 






















76.79 


100 


28 


86 


40 






















80.00 


72 


24 


64 


24 






















80.36 


100 


28 


72 


32 






















80.63 


86 


24 


72 


32 






















81.44 


100 


24 


86 


44 






















81.90 


86 


24 


64 


28 






















83.33 


100 


24 


64 


32 






















83-33 


lOO 


24 


56 


28 






















83.33 


100 


24 


48 


24 






















83.61 


86 


24 


56 


24 






















89-59 


100 


24 


86 


40 






















92.14 


86 


24 


72 


28 






















93.75 


100 


24 


72 


32 






















95-24 


100 


24 


64 


28 






















95-56 


86 


24 


64 


24 






















95-98 


100 


28 


86 


32 






















97.22 


100 


24 


56 


24 






















107.14 


100 


24 


72 


28 






















107.50 


86 


24 


72 


24 






















III. II 


100 


24 


64 


24 






















HI.98 


100 


■24 


86 


32 






















125.00 


100 


24 


72 


24 






















I27.9S 


100 


24 


86 


28 






















149-31 


100 


24 


86 


24 























































































































































































































































































































































































































































































































Index Table. 



The following table contains all the data necessary to index 
for any number of divisions fi'om 3 to 399 when using the spiral 
head of a Universal Milling Machine made by Brown & Sharpe 
Mfg. Co., equipped for differential indexing. 

Example : Required to index for 107 divisions. 
Referring to table, 107 divisions calls for index plate wath a 
20 hole circle, 8 holes to be taken at each indexing. Gears must 
be used as follows : gear on worm 40 teeth, ist gear on stud 56 
teeth, 2d gear on stud 32 teeth and gear on spindle 64 teeth. 
To turn the index plate in the right direction, one idler is 
required. The sectors are to be set to the 78 graduation as 
called for and will then be correct for indexing 8 holes in a 20 
hole circle. 



174 



BROWN & SHARPE MFG. CO. 
INDEX TABLE 2 to 50 



Plain & Differential Indexing 



Gear on Spindle 
6i T. 




o 



2 nd Gear 
Stud 

i St Gear on, Stud 
S6T. 



■ Gear on Worm 
M T. 



GEARED FOR t07 




111 



O 5 

org xlii 

UJ — ui o 

i> So 



QC nj 



en o 

s > 

3 Q 



IL — 
O U. 



3 a 



X -1 

HI O 

9a 



s > 



Any 



13 



39 



3 ^ 



14 



26 



39 



106 



40 



Any 



39 



13 



65 



49 



i? 



169 



27 



27 



33 



^m 



65 



14 



95 



41 



41 



3* 



.18 



'2rs 



65 



39 



-> 26 
^ 39 



170 
132 



28 



49 
21 



83 



42 



85 



43 



43 



Any 



15 



33 



132 



29 



29 



75 



44 



33 



17 = 



Any 



18 



132 



39 



" 39 



132 



16 



30 



33 



132 



17 



17 



69 



39 
33 
18 



45 



27 



18 



65 



46 



23 



172 



18 



132 



49 



c 35 
J 49 



18 



27 



43 



31 



31 



56 



47 



47 



168 



140 



43 



32 



48 



18 



165 



5 ^ 



142 



19 



19 



'^x| 



^9 



33 



33 



41 



49 



49 



161 



Any 



Any 



34 



17 



33 



50 



158 



27 



41Z 
27 



88 



18 



87 



33 



161 



35 



49 
21 



Any 



23 



23 



147 



33 






126 



39 



132 



36 



27 



18 



18 



39 



65 



24 



33 



132 



37 



37 



33 



65 



18 



132 



38 



19 



18 



J .a 



65 



25 



118 



39 



39 



39 



Graduations in 
table indicate 
setting for arms 
of sector when 
index crank 
moves through 
arc "a," except 
cases marked* 
wh en the index 
crank moves 

THROUGH ARC "B." 



BROWN & SHARPE MFG. CO. 



175 















INDEX TABLE 51 


to 92. 
















ttO 
£> 


-0 


0) 
Hi 



Z 


z 


< 

Q 

•< 
0: 



s 

Cz 



No.l HOLE 


ZUI 

UJ 0- 
C3« 


IDLERS 


a. 

as 

s > 


-0 


CO 

$x 

DC UJ 

?i 

°s 


z 


z 
g 

< 

Q 
< 




E 
Oz 




No.l HOLE 


ZUI 


IDLERai 




w 

hZ 
« 


0: Q 

HI t- 
to 

QZ 


_ u 
. J 

zi 


IS 


ui 1- 
(0 

H Z 

« 


C Q 
< 3 

to 
^0 


_ UJ 

ii 


Ct UJ 

60 

ZI 




51 


17 


14 

17 


33* 


24 






48 


24 


44 


69 


20 


12 

20 


118 


40 






56 


24 


44 




52 


39 


30 

39 


132 














70 


49 


28 

49 


112 
















53 


49 


3S 

49 


140 


56 


40 


24 


72 






21 


12 

21 


"3 
















21 


15 

21 


142 


56 


40 


24 


72 






71 


27 


IS 

27 


no 


72 






40 


24 






54 


27 


20 

27 


147 














18 


lO 

iS 


109 


72 






40 


24 






55 


33 


24 
33 


144 














72 


27 


£5 

27 


no 
















56 


49 


35 
49 


140 














18 


10 

IS 


109 
















21 


IS 
21 


142 














73 


49 


28 
49 


112 


28 






48 


24 


44 




57 


49 


35 
49 


140 


56 






40 


24 


44 


21 


12 
21 


Ji3 


28 






48 


24 


44 




21 


IS 

21 


142 


56 






40 


24 


44 


74 


37 


20 

37 


107 
















58 


29 


20 
29 


136 














75 


15 


8 
IS 


105 
















59 


39 


26 
39 


132 


48 






32 


44 




76 


19 


10 

19 


103 
















33 


22 
33 


132 


48 






32 


44 




77 


20 


10 

20 


98 


32 






48 


44 






18 


fs 


13s 


48 






32 


44 




78 


39 


20 
39 


101 
















60 


39 


26 
■39 


132 














79 


20 


10 

20 


98 


48 






24 


44 






33 


22 
33 


132 














80 


20 


10 

20 


98 
















18 


12 

18 


132 














81 


20 


10 

20 


98 


48 






24 


24 


44 




61 


39 


26 
39 


132 


48 






32 


24 


44 


82 


41 


20 
41 


96 
















33 


22 
33 


132 


48 






32 


24 


44 


83 


26 


10 

20 


98 


32 






48 


24 


44 




18 


12 


132 


48 






32 


24 


44 


84 


21 


10 
21 


94 
















62 


31 


20 
31 


127 














85 


17 


8 
17 


92 
















63 


39 


26 

39 


132 


24 






48 


24 


44 


86 


43 


20 

43 


91- 
















33 


22 
33 


132 


24 






48 


24 


44 


87 


15 


7 
IS 


92 


40 






24 


24 


44 




18 


12 

18 


132 


24 






48 


24 


44 


88 


33 


IS 

33 


89 
















64 


16 


10 

16 


123 














89 


27 


12 

27 


88 


72 






32 


44 






65 


39 


24 
39 


121 














18 


8 
18 


87 


72 






32 


44 






66 


33 


20 
33 


120 














90 


27 


12 

27 


88 
















67 


49 


28 
49 


112 


28 






48 


44 




18 


8 
18 


87 
















21 


12 
21 


"3 


28 






48 


44 




91 


39 


iS 
39 


91 


24 






48 


24 


44 




68 


17 


10 

17 


116 














92 


23 


10 

23 


86 

















:76 



BROWN & SHARPE MFG. CO. 















INDEX TABLE 93 to 1 


25. 














lit — 

to to 
s> 


ii 

-0 


CO 

n 

u. - 



z 


Z 


< 

Q 

< 




s 

^^ 

Oz 



NO.l HOLE 


ZUJ 

<i 

Uj Q. 


IDLERS 


oco 
s> 


ii 


CO 

ii 

u. - 
on. 





z 


z 


P 
< 

< 

a. 



<> 

Cz 



NO.l HOLE 


ZUl 

lij ^ 


IDLERS 


C3 03 

\- z 

M 


CCQ 
< 3 

111 H 

Oco 

Q Z 


-HI 

is 


is 


1- z 
mo 


oto 


-UJ 
. -1 
00 
ZI 


60 

ZI 


93 


27 


12 
27 


88 


24 






32 


24 


44 


114 


39 


13 

39 


65 


24 






48 


44 




18 


8 

18 


87 


24 






32 


24 


44 


33 


t 


65 


24 






48 


44 




94 


47 


20 
47 


83 














18 


6 
18 


65 


24 






48 


44 




95 


19 


8 
19 


82 














"5 


23 


8 
23 


68 














96 


49 


21 
49 


83 


28 






32 


24 


44 


116 


29 


10 
29 


68 














21 


9 

21 


85 


28 






32 


24 


44 


117 


39 


13 

39 


65 


24 






24 


56 




97 


20 


8 
20 


78 


40 






48 


44 




33 


II 
33 


65 


24 






24 


56 




98 


49 


20 
49 


79 














18 


6 
iS 


65 


24 






24 


56 




99 


20 


8 
20 


78 


56 


28 


40 


32 






118 


39 


^3 
39 


65 


48 






32 


44 




100 


20 


8 
20 


78 














33 


II 

33 


65 


48 






32 


44 




lOI 


20 


8 
20 


78 


72 


24 


40 


48 




24 


18 


6 
18 


65 


48 






32 


44 




102 


20 


8 
20 


78 


40 






32 


24 


44 


119 


39 


13 

39 


65 


72 






24 


44 




103 


20 


8_ 
20 


78 


40 






48 


24 


44 


33 


II 
33 


65 


72 






24 


44 




104 


39 


15 
39 


75 














iS 


6 
18 


65 


72 




- 


24 


44 




105 


21 


8 
21 


75 














120 


39 


13 

39 


65 














106 


43 


16 
43 


73 


86 


24 


24 


48 






33 


II 

33 


65 














107 


20 


20 


78 


40 


56 


32 


64 




24 


18 


6 

Is 


65 














108 


27 


10 
27 


73 














121 


39 


13 
39 


65 


72 






24 


24 


44 


109 


16 


6. 
16 


73 


32 






28 


24 


44 


33 


II 
33 


65 


72 






24 


24 


44 


no 


33 


12 
33 


71 














18 


6 

Is 


65 


72 






24 


24 


44 


III 


39 


13 

39 


65 


24 






72 


32 




122 


39, 


13 

39 


65 


48 






32 


24 


44 


33 


11 
33 


65 


24 






72 


32 




33 


II 

33 


65 


48 






32 


24 


44 


18 


6 

IB 


65 


24 






72 


32 




18 


6 

Is 


65 


48 






32 


24 


44 


112 


39 


13 

39 


65 


24 






64 


44 




123 


39 


13 


65 


24 






24 


24 


44 


33 


II 
33 


65 


24 






64 


44 




33 


II 

33 


65 


24 






24 


24 


44 


18 


6 


65 


24 






64 


44 




18 


6 
18 


65 


24 






24 


24 


44 


"3 


39 


13 

39 


65 


24 






56 


44 




124 


31 


10 
31 


63 














33 


II 
33 


65 


24 






56 


44 




125 


39 


13 
39 


65 


24 






40 


24 


44 


18 


6 
18 


65 


24 






56 


44 




33 


II 

33 


65 


24 






40 


24 


44 






















i8 


6 
l8 


65 


24 






40 


24 


44 











































BROWN & SlIARPR MFG. CO. 



177 















INDEX TABLE 126 to 168. 
















IE 
UJ — 

CO <n 
g > 


-0 


CO 

q: X 

"i 
u. — 
u. 
. 



z 


Z 

H 
< 

Q 
< 




<o 



NO.I HOLE 


Z UJ 

<i 

U Q. 

0) 


IDLERS 


UJ - 

S > 


p 

- 


0) 

u. - 
Ou. 
.0 


z 


z 



H 
< 

Q 
< 

(3 


Ul S 

Oz 




NO.I HOLE 


Z Ul 
UJ Q. 

o w 


IDLERS 




CD 

UJ H 
C3 CO 

5§ 


ceo 

< 3 

Ull- 

00) 

so 


-UJ 

is 


(N 111 
. _l 
00 
ZI 


CO 



UJ h 

WJ 

►- z 

20 


UI H 
W 
Q Z 
z 


_ UJ 

ii 


M Uj 

6 

Z I 




126 


39 


13 

39 


65 


24 






48 


24 


44 


143 


49 


14 

49 


55 


28 






24 


24 


44 




ZZ 


II 

33 


65 


24 






48 


24 


44 


21 


6 
21 


56 


28 






24 


24 


44 




iS 


6 
IS- 


65 


24 






48 


24 


44 


144 


18 


5 
iS 


54 
















127 


39 


IS 
39 


65 


24 






56 


24 


44 


145 


29 


S 
29 


54 
















3Z 


II 

33 


65 


24 






56 


24 


44 


146 


49 


14 

49 


55 


28 






48 


24 


44 




iS 


6 
-iS 


65 


24 






56 


24 


44 


21 


6 
21 


56 


28 






48 


24 


44 




128 


16 


5 


61 














147 


49 


14 

49 


55 


24 






48 


24 


44 




129 


39 


13 
39 


65 


^4 






72 


24 


44 


21 


6 
21 


56 


24 






48 


24 


44 




Z2> 


II 

33 


65 


24 






72 


24 


44 


1 48 


37 


10 
37 


53 
















18 


6 
iS 


65 


24 






72 


24 


44 


149 


49 


14 

49 


55 


28 






72 


24 


44 




130 


39 


12 

39 


60 














21 


6 
21 


56 


28 






72 


24 


44 




131 


20 


6 
20 


5S 


40 






28 


44 




150 


15 


4 

IS 


52 
















132 


33 


10 
33 


59 














151 


20 


5 
20 


48 


32 






72 


44 






n^ 


49 


14 

49 


55 


24 






48 


44 




152 


19 


5 
19 


51 
















21 


6 
21 


56 


24 






48 


44 




153 


20 


5 
20 


48 


32 






56 


44 






134 


49 


14 
49 


55 


28 






48 


44 




154 


20 


5 
20 


48 


32 






48 


44 






21 


b_ 


56 


28 






48 


44 




155 


31 


S 
31 


50 
















135 


27 


S 
27 


58 














156 


39 


10 
39 


50 
















136 


17 


5 
17 


57 














157 


20 


5 
20 


48 


32 






24 


56 






^37 


49 


14 
49 


55 


28 






24 


56 




1 58 


20 


5 
20 


48 


48 






24 


44 






21 


6 
21 


56 


28 






24 


56 




159 


20 


5 
20 


48 


64 


32 


56 


28 








138 


49 


14 

49 


55 


56 






3- 


44 




160 


20 


i. 


48 
















21 


6 
21 


56 


56 






32 


44 




161 


20 


5 
20 


48 


64 


32 


56 


28 




24 




139 


49 


14 

49 


55 


56 


32 


48 


24 






162 


20 


5 
20 


48 


48 






24 


24 


44 




21 


6 
21 


50 


56 


32 


48 


24 






163 


20 


5 
20 


48 


32 






24 


24 


44 




140 


49 


14 

49 


55 














164 


41 


10 

41 


47 
















21 


6 
21 


56 














165 


Z3 


S 
33 


47 
















141 


18 


5 
iS 


54 


48 






40 


44 




166 


20 


20 


48 


32 






48 


24 


44 




142 


49 


14 
49 


55 


56 






32 


24 


44 


167 


20 


S 
20 


48 


32 






56 


24 


44 




21 


6 

21 


56 


36 






Z2 


24 


44 


168 


21 


s 

21 


47 

















178 



BROWN & SHARPE MFG. CO. 















INDEX TABUE 169 to 2 1 4. 














UI — 
CO CO 

s> 


ii 

-0 


0) 

§2 

Hi 
L. - 



Z 


Z 


P 
< 

Q 

< 




s 

Oz 



NO.I HOLE 


ZUJ. 
O-l 

tua 


IDLERS 


UJ — 
C0» 

s> 

15 


ii 


CO 

§2 

Hi 

IL — 



z 


Z 


< 
3 
Q 
< 




Oz 



NO.I HOLE 


ZUJ 
°r! 

<l 
UJ Q. 

(JCO 


IDLERS 


(0 


5° 

< 3 

50 


- Ul 

ii 


c5o 
zx 


(CO 
uih 

o« 
5i 


< 3 

UJ l: 
ow 


- U 

Ii 


is 


169 


20 


5 
20 


48 


32 






72 


24 


44 


187 


27 


6 
27 


43 


72 


48 


.24 


56 




24 


170 


17 


4 
17 


45 














18 


4 
18 


43 


72 


48 


24 


56 




24 


171 


21 


5 
21 


47 


56 






40 


24 


44 


188 


47 


10 

47 


40 














J72 


43 


10 
43 


44 














189 


27 


6 
27 


43 


32 






64 


24 


44 


173 


27 


^ 


43 


72 


56 


32 


64 






18 


4 
18 


43 


32 






64 


24 


44 


18 


4 
18 


43 


72 


56 


32 


64 






190 


19 


4 
19 


40 














i74 


^7 


6 

27 


43 


24 






32 


56 




191 


20 


4 
20 


38 


40 






72 


24 




18 


18 


43 


24 






32 


56 




192 


20 


4 
20 


38 


40 






64 


44 




^75 


27 


27 


43 


72 


40 


32 


64 






193 


20 


4 
20 


38 


40 






56 


44 




18 


4 

78 


43 


72 


40 


32 


64 






194 


20 


4 
20 


38 


40 






48 


44 




176 


27 


6. 

27 


43 


72 


24 


24 


64 






195 


39 


8 
39 


39 














18 


4 

Is 


43 


72 


24 


24 


64 






196 


49 


10 

49 


38 














177 


27 


27 


43 


72 






48 


24 




197 


20 


4 
20 


38 


40 






24 


56 




18 


4 
18 


43 


72. 






48 


24 




198 


20 


4 
20 


38 


56 


28 


40 


32 






17S 


27 


6. 
27 


43 


72 






32 


44 




199 


20 


4 

20 


-38 


100 


40 


64 


32 






18 


4 
18 


43 


72 






32 


44 




200 


20 


4 
20 


38 














179 


27 


-6 
27 


43 


72 


24 


48 


32 






201 


20 


4 
20 


38 


72 


24 


40 


24 




24 


18 


4 
18 


43 


72 


24 


48 


32 






202 


20 


4 

20 


38 


72 


24 


40 


48 




24 


tSo 


27 


6 
27 


43 














203 


20 


4 
20 


38 


40 






24 


24 


44 


18 


4 
18 


43 














204 


20 


4 

20 


38 


40 






32 


24 


44 


181 


27 


6. 
27 


43 


72 


24 


48 


32 




24 


205 


41 


8 
41 


37 














18 


4 
18 


43 


72 


24 


48 


32 




24 


206 


20 


4 
20 


38 


40 






48 


24 


44 


182 


27 


6 
27 


43 


72 






32 


24 


44 


207 


20 


4. 

20 


38 


40 






56 


24 


44 


18 


4 
18 


43 


72 






32 


24 


44 


20S 


20 


4 
20 


38 


40 






64 


24 


44 


183 


27 


27 


43 


48 






32 


24 


44 


209 


20 


4 
20 


38 


40 






72 


24 


44 


18 


4 
18 


43 


48 






32 


24 


44 


210 


21 


4^ 
21 


37 














184 


23 


S 
23 


42 














211 


16 


3 
16 


36 


64 






28 


44 




185 


Zl 


8 
37 


42 














212 


43 


8 
43 


35 


86 


24 


24 


48 






186 


27 


6 
27 


43 


48 






64 


24 


44 


213 


27 


S 
27 


36 


72 






40 


44 




18 


4 

18 


43 


48 






64 


24 


44 


,214 


20 


4 
20 


38 


40 


56 


32 


64 




24 



BROWN, & SlIARPE MFG. CO. 



179 















INDEX TABLE 2 1 5 to 270. 
















u. 
to 

si 

men 
s> 


ii 


CO 

§2 

Hi 

u. - 

z 


Z 

h 
< 

< 

a. 


s 
<o 

Oz 



NO.IHOLE 


ZUl 


IDLERS 


0: 

Ml ^ 

S w 

2 > 


u 

11 


n 

u. - 



z 


Z 

1- 
< 
3 
Q 
< 




s 
<2 

iii5 

°z 




NO.IHOLE 


Z UJ 

<i 

U 0. 

w 


IDLERS 




<E 

u t- 

1- z 
2 


ceo 

< 3 

50 


-UJ 
. J 
00 


60 

ZI 


ttO 


5° 


. -J 
00 
Zl 


0< tu 

. _i 
00 

ZI 




215 


43 


8 
43 


35 














245 


49 


S 
4g 


30 
















216 


27 


J. 
27 


36 














246 


18 


3 
18 


32 


24 






24 


24 


44 




217 


21 


4 
21 


37 


4S 






64 


24 


44 


247 


18 


3 
18 


32 


48 






56 


24 


44 




218 


16 


3 
16 


36 


64 






56 


24 


44 


248 


31 


s 
31 


31 
















219 


21 


4 

21 


37 


28 






48 


24 


44 


249 


18 


3 

i8 


32 


32 






48 


24 


44 




220 


33 


6 
33 


35 














250 


18 


3 

18 


32 


24 






40 


24 


44 




221 


17 


3 
17 


33 


24 






24 


56 




251 


18 


3 
18 


32 


48 


44 


32 


64 




24 




222 


18 


3_ 
iS 


32 


24 






72 


44 




252 


18 


A 
18 


32 


24 






48 


24 


44 




223 


43 


S 
43 


35 


86 


48 


24 


64 




24 


253 


33 


5 
33 


29 


24 






40 


56 






224 


18 


3 

iS 


32 


24 






64 


44 




254 


18 


3 

18 


32 


24 






56 


24 


44 




225 


27 


27 


36 


24 






40 


24 


44 


255 


18 


3 
18 


32 


48 


40 


24 


72 




24 




226 


18 


iS 


32 


24 






56 


44 




256 


18 


3 
18 


32 


24 






64 


24 


44 




227 


49 


8 
49 


30 


56 


64 


28 


72 






257 


49 


8 
49 


30 


56 


48 


28 


64 




24 




228 


18 


A 


32 


24 






48 


44 




258 


43 


43 


31 


32 






64 


24 


44 




229 


18 


3. 
18 


32 


24 






44 


48 




259 


49 


7 
49 


26 


24 






72 


44 






230 


23 


4 
23 


34 














21 


3 
21 


28 


24 






72 


44 






231 


18 


3 

18 


32 


32 






48 


44 




260 


39 


6 
39 


29 
















232 


29 


s 
29 


33 














261 


29 


4 
29 


26 


48 


64 


24 


72 








233 


18 


1. 
18 


32 


48 






56 


44 




262 


20 


3 
20 


28 


40 






28 


44 






234 


18 


3 
18 


32 


24 






24 


56 




263 


49 


S 
49 


30 


56 


64 


28 


72 




24 




235 


47 


s 

47 


32 














264 


33 


5 
33 


29 
















236 


,18 


18 


32 


48 






32 


44 




265 


49 


7 
49 


26 


56 


40 


24 


72 








237 


t8 


J. 
18 


32 


48 






24 


44 




21 


3 
21 


28 


56 


40 


24 


72 








238 


18 


3 
18 


32 


72 






24 


44 




266 


49 


J. 
49 


26 


32 






64 


44 






239 


18 


3 
i8 


32 


72 


24 


64 


32 






21 


3_ 
21 


28 


32 






64 


44 






240 


18 


18 


32 














267 


27 


4 
27 


28 


72 






32 


44 






241 


18 


3 
18 


32 


72 


24 


64 


32 




24 


268 


49 


7 
49 


26 


28 






48 


44 






242 


18 


3 
18 


32 


72 






24 


24 


44 


21 


3 
21 


28 


28 






48 


44 






243 


i8 


J 
18 


32 


64 






32 


24 


44 


269 


20 


3 
20 


28 


64 


32 


40 


28 




24 




244 


IS 


J. 
18 


32 


48 






32 

1 — \-J 


24 


44 


270 


27 


4 
27 


28 

















i8o 



BROWN & SHARPE MFG. CO. 
INDEX TABLE 271 to 3 1 O 



ao 

2> 


ii 

-0 


Hi 

IL —. 



Z 


2 

P 
< 

Q 

< 




111? 




NO.I HOLE 


ZUJ 
IJ 0. 


IDLERS 


EC 
u — 

s> 

§5 


xi:i 


(0 

?i 
i 


Z 

H 
< 
3 
Q 
< 




<i 

HI? 

C3z 




NO.I HOLE 


O-l 

til a 
uco 


IDLERS ' 


a a 

< 3 

m H 

M 
1- z 

20 


< 3 

up 


2)1 


60 

zr 


ICO 
< 3 

111 1- 

U CO 


HI H 
OU) 


-UJ 

is 


CI 111 

is 


271 


49 


7 

49 


26 


56 


24 


24 


72 






287 


49 


7 
49 


26 


24 






24 


24 


44 


21 


3 
21 


28 


56 


24 


24 


72 






21 


3 
21 


28 


24 






24 


24 


44 


272 


49 


7 
49 


26 


56 






64 


24 




288 


49 


7 
49 


26 


28 






32 


24 


44 


21 


3 

21 


28 


56 






64 


24 




21 


3 
21 


28 


28 






32 


24 


44 


273 


49 


49 


26 


24 






24 


56 




289 


49 


7 
49 


26 


56 


24 


24 


72 




24 


21 


3 
21 1 


28 


24 






24 


56 




21 


3 
21 


28 


56 


24 


24 


72 




24 


274 


49 


7 
49 


26 


56 






48 


44 




290 


29 


4 
29 


26 














21 


21 


28 


56 






48 


44 




291 


15 


2 

IS 


25 


40 






48 


44 




275 


49 


7 
49 


26 


56 






40 


44 




292 


49 


7 
49 


26 


28 






48 


24 


44 


21 


3 
21 


28 


56 






40 


44 




21 


3 
21 


28 


28 






48 


24 


44 


276 


49 


49 


26 


56 






32 


44 




293 


15 


2 
15 


25 


48 


32 


40 


56 






21 


21 


28 


56 






32 


44 




294 


49 


49 


26 


24 






48 


24 


44 


277 


49 


49 


26 


56 






24 


44 




21 


3 
21 


28 


24 






48 


24 


44 


21 


21 


28 


56 






24 


44 




295 


15 


2 

IS 


25 


48 






32 


44 




278 


49 


49 


26 


56 


32 


48 


24 






296 


37 


5 
37 


26 














2L 


3 
21 


28 


56 


32 


48 


24 






297 


33 


33 


23 


28 


48 


24 


56 






279 


27 


4 
27 


28 


24 






32 


24 


44 


29S 


49 


7 

49 


26 


28 






72 


24 


44 


280 


49 


7 
49 


26 














21 


3 
21 


28 


28 






72 


24 


44 


21 


3 
21 


28 














299 


23 


3 
23 


25 


24 






24 


56 




281 


49 


49 


26 


72 


24 


56 


24 




24 


300 


15 


2 
15 


25 














21 


3 
21 


28 


72 


24 


56 


24 




24 


301 


43 


6 
43 


26 


24 






48 


24 


44 


282 


43 


6 
43 


26 


86 


24 


24 


56 






302 


16 


2 
16 


24 


32 






72 


24 




283 


49 


49 


26 


56 






24 


24 


44 


303 


15 


2 
15 


25 


72 


24 


40 


48 




24 


21 


3 
21 


28 


56 






24 


24 


44 


304 


16 


2 
16 


24 


24 






48 


44 




284 


49 


7 
49 


26 


56 






32 


24 


44 


305 


15 


2 
15 


25 


48 






32 


24 


44 


21 


21 


28 


56 






32 


24 


44 


306 


15 


2 
15 


25 


40 






32 


24 


44 


285 


49 


49 


26 


56 






40 


24 


44 


307 


15 


2. 
15 


25 


72 


48 


40 


56 




24 


21 


3 
21 


28 


56 






40 


24 


44 


308 


16 


2 
16 


24 


32 






48 


44 




286 


49 


49 


26 


56 






48 


24 


44 


309 


»S 


2 
IS 


25 


40 






48 


24 


44 


21 


3 
21 


28 


56 






48 


24 


44 


310 


31 


4 
31 


24 















BROWN & SHARPE RrFG. CO. 



i8i 















rNTDEX: TABLE 3 1 1 to 355 














UL 
O CO 

si 

m w 

2> 

i5 


ii 

-0 


CO 

d 

z 


Z 

1- 
< 

Q 
< 




oz 



NO.I HOLE 


J 

UiD. 
W 


IDLERS 


u. 
w 

(To 
LU - 

S > 


x!j 


CO 

30 
l-Z 

°i 

6 

Z 


Z 

t- 
< 
3 
Q 
< 
DC 

a 


<o 

''z 



NO.I HOLE 


ZUI 

-1 

<l 

UJ D. 

w 


IDLERS 


OCO 

5i 


ujf: 
So 


- u 

is 


d UJ 



Z I 


lUl- 
O<0 
H Z 


oco 

<3 

iz 


- UJ 


(S UJ 

. -1 
00 

ZI 


3" 


16 


2 
16 


24 


64 


24 


24 


72 






339 


27 


27 


21 


24 






56 


44 




312 


39 


5 
39 


24 














18 


A. 

iS 


21 


24 






56 


44 




313 


16 


2 
16 


24 


32 






28 


56 




340 


17 


2 

17 


22 














314 


16 


76 


24 


32 






24 


56 




341 


43 


5 
43 


21 


86 


24 


32 


40 






315 


16 


2 
16 


24 


64 






40 


24 




342 


27 


3 
27 


21 


32 






64 


44 




316 


16 


2 
16 


24 


64 






32 


44 




18 


2 

iS 


21 


32 






64 


44 




317 


16 


2 
16 


24 


64 






24 


44 




343 


15 


2 
15 


25 


40 


64 


24 


86 




24 


318 


16 


2 
16 


24 


56 


28 


48 


24 






344 


43 


43 


21 














319 


29 


4 
29 


26 


48 


64 


24 


72 




24 


345 


27 


3 
27 


21 


24 






40 


56 




320 


16 


2 
16 


24 














18 


2 
iS 


21 


24 






40 


56 




321 


16 


2 
16 


24 


72 


24 


64 


24 




24 


346 


27 


3 
27 


21 


72 


56 


32 


64 






322 


23 


3 
23 


25 


32 






64 


24 


44 


18 


2 

iS 


21 


72 


56 


32 


64 






323 


16 


2 
16 


24 


64 






24 


24 


44 


347 


43 


5 
43 


21 


86 


24 


32 


40 




24 


324 


16 


2 
16 


24 


64 






32 


24 


44 


348 


27 


3 
27 


21 


24 






32 


56 




325 


16 


2 
16 


24 


64 






40 


24 


44 


18 


2 
iS 


21 


24 






32 


56 




326 


16 


2 
16 


24 


32 






24 


24 


44 


349 


27 


I. 
27 


21 


72 


44 


24 


48 






327 


16 


2 
16 


24 


32 






28 


24 


44 


18 


2 
18 


21 


72 


44 


24 


48 






328 


41 


5 
41 


23 














350 


27 


1. 
27 


21 


72 


40 


32 


64 






329 


16 


2 

16 


24 


64 


24 


24 


72 




24 


18 


2 

78 


21 


72 


40 


32 


64 






330 


33 


4 
33 


23 














351 


27 


3 

27 


21 


24 






24 


56 




33^ 


16 


2 
16 


24 


64 


44 


24 


48 




24 


18 


2 
18 


21 


24 






24 


56 




332 


16 


2 

16 


24 


32 






48 


24 


44 


352 


27 


3 

27 


21 


72 


24 


24 


64 






333 


27 


_3_ 
•27 


21 


24 






72 


44 




18 


2 
18 


21 


72 


24 


24 


64 






18 


2 
iS 


21 


24 






72 


44 




353 


27 


3 

27 


21 


72 


24 


24 


56 






334 


16 


2 
76 


24 


32 






56 


24 


44 


18 


2 
iS 


21 


72 


24 


24 


56 






335 


33 


4 
33 


23 


72 


48 


44 


40 




24 


354 


27 


3 
27 


21 


72 






48 


24 




336 


16 


2 
16 


24 


32 






64 


24 


44 


18 


2 
18 


21- 


72 






48 


24 




337 


43 


5 
43 


21 


86 


40 


32 


56 






355 


27 


3 

27 


2i 


72 






40 


24 




338 


16 


2 
16 


24 


32 






72 


24 


44 


18 


2 

18 


21 


72 






40 


24 













































l82 



BROWN & SHARPE MFG. CO. 















INDEX TABLE 356 to 399. 














Si 

tto 
UJ — 
CO to 
s > 

i5 


ii 

-0 


CO 
Z V. 

^i 

u. - 



z 


z 

p 
< 

3 

a 

< 




uiS 

Oz 




NO.I HOLE 


Zul 

OJ 

to 


IDLERS 


2" 

UJ — 

CO to 

s> 


Ul 

ii 


CO 

Zx 



z 


Z 


D 

a 

< 




UJ$ 

Oz 



NO.I HOLE 


ZUI 

oco 


IDLERS 


CO 

< ? 

U H 
C3 0) 
f z 
« 


DCQ 

111 H 
005 

go 


. -1 
00 
ZX 


do 

ZI 


Ul H 

to 
y Z 

M 


aa 


Ul \- 

Oto 

So 


-Ul 

ii 


60 

ZI 


356 


27 


3 
27 


21 


73 






32 


24 




374 


27 


3_ 
27 


21 


72 


56 


32 


64 




24 


18 


2 
18 


21 


72 






32 


24 




18 


2 
18 


21 


72 


56 


32 


64 




24 


357 


27 


3 
27 


21 


72 






24 


44 




375 


27 


3 
27 


21 


24 






40 


24 


44 


18 


2 

18 


21 


72 






24 


44 




18 


2 
IE 


21 


24 






40 


24 


44 


358 


^7 


3 
27 


21 


72 


32 


48 


24 






376 


47 


44 


19 














18 


2 
18 


21 


72 


32 


48 


24 






377 


29 


3 
29 


^9 


24 




- 


24 


56 




359 


43 


5 
43 


21 


86 


48 


32 


100 




24 


378 


27 


3 

27 


21 


32 






64 


24 


44 


360 


27 


3 
27 


21 














18 


2 

i"B 


21 


32 






64 


24 


44 


18 


2 
iS 


21 














379 


20 


2 

20 


18 


48 


56 


40 


72 






361 


19 


2 
19 


19 


32 






64 


44 




380 


19 


2 
19 


19 














362 


27 


3. 
27 


21 


72 


28 


56 


32 




24 


381 


27 


3 
27 


21 


24 






56 


24 


44 


18 


2 
7? 


21 


72 


28 


56 


32 




24 


18 


2 

IE 


21 


24 






56 


24 


44 


3(>3 


27 


3 
27 


21 


72 






24 


24 


44 


382 


20 


2 
20 


18 


40 






72 


24 




18 


2 
18 


21 


72 






24 


24 


44 


383 


20 


2 
20 


iS 


40 






68* 






364 


27 


3 
27 


21 


72 






32 


24 


44 


384 


20 


2 

20 


18 


40 






64 


44 




18 


2 

78 


21 


72 






32 


24 


44 


3S5 


20 


2 
20 


18 


32 






48 


44 




365 


20 


2 
20 


18 


32 


48 


24 


56 






386 


20 


2 
20 


18 


40 






56 


44 




366 


27 


3 
27 


21 


48 






32 


24 


44 


387 


43 


4 
43 


15 


32 


56 


28 


64 






18 


2 
18 


21 


48 






32 


24 


44 


388 


20 


2 
20 


18 


40 






48 


44 




367 


27 


3 
27 


21 


72 


24 


24 


56 




24 


389 


20 


2 
20 


18 


40 






44 


56 




18 


2 
18 


21 


72 


24 


24 


5<? 




24 


390 


39 


4 

39 


17 














368 


27 


3 
27 


21 


72 


24 


24 


64 




24 


391 


20 


2 
20 


18 


48 


24 


40 


72 






18 


2 
18 


21 


72 


24 


24 


64 




24 


392 


49 


49 


16 














369 


41 


4_ 
41 


18 


32 


56 


28 


64 






393 


20 


2 
20 


18 


40 






28 


44 




370 


37 


4 
37 


20 














394 


20 


2 
20 


18 


40 






24 


56 




371 


21 


2 
21 


iS 


32 


56 


24 


64 






395 


20 


2 
20 


18 


64 






32 


44 




372 


27 


3 
27 


21 


48 






64 


24 


44 


396 


20 


2 
20 


18 


56 


28 


40 


32 






18 


2 
iS 


21 


48 






64 


24 


44 


397 


20 


2 
20 


18 


64 


24 


40 


32 






373 


20 


2 

20 


18 


40 


48 


32 


72 






398 


20 


2 
20 


18 


100 


40 


64 


32 


























399 


21 


2 
21 


18 


32 






64 


44 





* SPECIAL GEAR. 



BROWN & SIIARPE MFG. CO. 



1S3 



DEQMAL EQUIVALENTS OF PARTS OF AN INCH. 



%4 . 


•01563 


21/64 . 


•32813 


4%4 . 


•70313 


%2 . . . 


•03125 


11/32 . . 


•34375 


2%2 . . 


•71875 


%4 . 


.04688 


2%4 . 


•35938 


4y64 . 


•73438 


1=16 . . . 


.0625 


3=8 ... . 


•375 


3=4 


•75 


%4 


.07813 


2%4 . 


.39063 


4%4. 


•76563 


%2 . . 


•09375 


1%2 . . 


.40625 


2%2 . . 


.78125 


%4 


.10938 


2%4 . 


.42188 


^1/64 • 


.79688 


1=8 . . 


125 


7-16 . . . 


•4375 


13-16 . . . 


.8125 


%4 


.14063 


2%4 . 


•45313 


5%4 . 


.82813 


%2 . . 


•15625 


1%2 • . 


.46875 


2%2 . . 


•84375 


11/64 


.17188 


31/64 . 


.48438 


5%4 . 


•85938 


3-16 . . 


■187s 


1-2 ... . 


•5 


7=8. . . . 


•87s 


1%4 


.20313 


3%4 . 


•51563 


5%4 . 


.89063 


%2 . . 


.21875 


iy82 . . 


■53125 


2%2 . • 


.90625 


1%4 


•23438 


=^%4 . 


.54688 


5%4 . 


.92188 


1=4 . 


•25 


9=16 . 


•5625 


15=16 . . . 


•9375 


1%4 


.26563 


3y64 . 


•57813 


61/64 . 


•95313 


%2 . . 


.28125 


1%2 . • 


■59375 


31/32 . • 


•96875 


1%4 


. .29688 


3%4 . 


.60938 


6%4 . 


.98438 


5-16 . . 


• -3125 


5-8 

41/64 . 

21/32 . . 

4%4 . 

II-16 . . . 


.625 

.64063 
•65625 
.67188 
•6875 


.1 


1. 00000 



oEe so ISO" 



